For y=x2, the average gradient as x changes from a to a+0.2 is 6.2. Given that the average gradient

Question

For y=x2, the average gradient as x changes from a to a+0.2 is 6.2. Given that the average gradient for a change h is 2a+h, find a and the tangent gradient at the original point. Explain why the tangent gradient is not 6.2.

Accepted Answer

$a=3$; tangent gradient $6$.

Recovering an original input

Recovering an original input

Solution:

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