SOLUTION: Calculate the gradient of the curve for y = x^2

SOLUTION: Calculate the gradient of the curve for y = x^2 - 2x at the point where y = -1.

Question 1190555: Calculate the gradient of the curve for y = x^2 - 2x at the point where y = -1.
Answer by ikleyn(52814) (Show Source): You can put this solution on YOUR website!
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Calculate the gradient of the curve for y = x^2 - 2x at the point where y = -1.
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They want you calculate the derivative and evaluate it at the point, where y= -1.


The derivative is   = 2x - 2.     (1)


The point where y= -1 is  

    -1 = x^2 - 2x

    x^2 - 2x + 1 = 0

    (x-1)^2 = 0

     x = 1.


So, we substitute x= 1 into the expression for the derivative (1), and we get the gradient

    gradient = 2*1 - 2 = 0.    ANSWER


ANSWER.  The gradient is zero at the point where y = -1.

Solved.

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