AS- P1 differentiation (gradients) [closed]












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The curve with the equation y= ax^2 +bx +c passes through the point (1,2). The gradient of the curve is zero at the point (2,1). find the values of a, b and c.










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closed as off-topic by John Doe, Keenan Kidwell, Lord Shark the Unknown, Shailesh, KReiser Jan 3 at 4:38


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    0












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    The curve with the equation y= ax^2 +bx +c passes through the point (1,2). The gradient of the curve is zero at the point (2,1). find the values of a, b and c.










    share|cite|improve this question









    $endgroup$



    closed as off-topic by John Doe, Keenan Kidwell, Lord Shark the Unknown, Shailesh, KReiser Jan 3 at 4:38


    This question appears to be off-topic. The users who voted to close gave this specific reason:


    • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – John Doe, Keenan Kidwell, Lord Shark the Unknown, Shailesh, KReiser

    If this question can be reworded to fit the rules in the help center, please edit the question.



















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      0





      $begingroup$


      The curve with the equation y= ax^2 +bx +c passes through the point (1,2). The gradient of the curve is zero at the point (2,1). find the values of a, b and c.










      share|cite|improve this question









      $endgroup$




      The curve with the equation y= ax^2 +bx +c passes through the point (1,2). The gradient of the curve is zero at the point (2,1). find the values of a, b and c.







      derivatives






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      asked Jan 2 at 15:08









      wizardwizard

      204




      204




      closed as off-topic by John Doe, Keenan Kidwell, Lord Shark the Unknown, Shailesh, KReiser Jan 3 at 4:38


      This question appears to be off-topic. The users who voted to close gave this specific reason:


      • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – John Doe, Keenan Kidwell, Lord Shark the Unknown, Shailesh, KReiser

      If this question can be reworded to fit the rules in the help center, please edit the question.







      closed as off-topic by John Doe, Keenan Kidwell, Lord Shark the Unknown, Shailesh, KReiser Jan 3 at 4:38


      This question appears to be off-topic. The users who voted to close gave this specific reason:


      • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – John Doe, Keenan Kidwell, Lord Shark the Unknown, Shailesh, KReiser

      If this question can be reworded to fit the rules in the help center, please edit the question.






















          1 Answer
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          0












          $begingroup$

          Hint: You are given that the points (1,2) and (2,1) are on the curve. This gives you two equations in terms of $a,b,c$ already. Then compute $frac{dy}{dx}$. You are given that this is zero when $x=2$, so with this, you get another equation in terms of $a,b,c$. Then solve these simultaneously. Can you do this?






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          • $begingroup$
            got it..thank you :)
            $endgroup$
            – wizard
            Jan 2 at 15:59










          • $begingroup$
            @wizard No worries!
            $endgroup$
            – John Doe
            Jan 2 at 16:00




















          1 Answer
          1






          active

          oldest

          votes








          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          0












          $begingroup$

          Hint: You are given that the points (1,2) and (2,1) are on the curve. This gives you two equations in terms of $a,b,c$ already. Then compute $frac{dy}{dx}$. You are given that this is zero when $x=2$, so with this, you get another equation in terms of $a,b,c$. Then solve these simultaneously. Can you do this?






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            got it..thank you :)
            $endgroup$
            – wizard
            Jan 2 at 15:59










          • $begingroup$
            @wizard No worries!
            $endgroup$
            – John Doe
            Jan 2 at 16:00


















          0












          $begingroup$

          Hint: You are given that the points (1,2) and (2,1) are on the curve. This gives you two equations in terms of $a,b,c$ already. Then compute $frac{dy}{dx}$. You are given that this is zero when $x=2$, so with this, you get another equation in terms of $a,b,c$. Then solve these simultaneously. Can you do this?






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            got it..thank you :)
            $endgroup$
            – wizard
            Jan 2 at 15:59










          • $begingroup$
            @wizard No worries!
            $endgroup$
            – John Doe
            Jan 2 at 16:00
















          0












          0








          0





          $begingroup$

          Hint: You are given that the points (1,2) and (2,1) are on the curve. This gives you two equations in terms of $a,b,c$ already. Then compute $frac{dy}{dx}$. You are given that this is zero when $x=2$, so with this, you get another equation in terms of $a,b,c$. Then solve these simultaneously. Can you do this?






          share|cite|improve this answer









          $endgroup$



          Hint: You are given that the points (1,2) and (2,1) are on the curve. This gives you two equations in terms of $a,b,c$ already. Then compute $frac{dy}{dx}$. You are given that this is zero when $x=2$, so with this, you get another equation in terms of $a,b,c$. Then solve these simultaneously. Can you do this?







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Jan 2 at 15:23









          John DoeJohn Doe

          11.3k11239




          11.3k11239












          • $begingroup$
            got it..thank you :)
            $endgroup$
            – wizard
            Jan 2 at 15:59










          • $begingroup$
            @wizard No worries!
            $endgroup$
            – John Doe
            Jan 2 at 16:00




















          • $begingroup$
            got it..thank you :)
            $endgroup$
            – wizard
            Jan 2 at 15:59










          • $begingroup$
            @wizard No worries!
            $endgroup$
            – John Doe
            Jan 2 at 16:00


















          $begingroup$
          got it..thank you :)
          $endgroup$
          – wizard
          Jan 2 at 15:59




          $begingroup$
          got it..thank you :)
          $endgroup$
          – wizard
          Jan 2 at 15:59












          $begingroup$
          @wizard No worries!
          $endgroup$
          – John Doe
          Jan 2 at 16:00






          $begingroup$
          @wizard No worries!
          $endgroup$
          – John Doe
          Jan 2 at 16:00





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