A curve has the equation $y = ax^2 + bx + 1$, where $a$ and $b$ are constants. The gradie

Question

A curve has the equation $y = ax^2 + bx + 1$, where $a$ and $b$ are constants. The gradients of the curve at $x = 1$ and $x = -1$ are $8$ and $-4$, respectively. Find the values of $a$ and $b$.

Accepted Answer

$a=3,\ b=2$

Applications of Differentiation - Derivative as the Gradient of a Curve

Applications of Differentiation - Derivative as the Gradient of a Curve

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