Default
Question
Find the slope of the tangent to the curve $y = x^3 - x$ at $x=2$
Solution
The correct answer is 11
Explanation
Given $y = x^3 - x$
∴ $\dfrac{dy}{dx}$ = $3x^2 - 1$
∴ slope of the tangent at $x=2$ is
$\dfrac{dy}{dx}$ = $3x^2 - 1$ = $3 (2)^2 - 1$ = $11$
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