Grade 11, Chapter (12) - Calculus

The rate of change of the function f(x) = x³ - x² + x - 5 at x = 2 is

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Given that f(x) = kx² - 3x + 1, f^''(x) = 8, then k =

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If f(x) = e^2x + e^-2x, then f^''(0) =

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If y = sin²x, then dy/dx at the point where x = π/4 is

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If y = 5x³ + 7x - 16, then d³y/dx³ =

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The value of

 $\frac{\text{d}}{\text{d}x}e^{\ln x^2}$  at the point where x = 1 is 

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If f(x) = cos x sin x, then f^'(x) =

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If

 $f\left(x\right)\ =\ \frac{\ln x^3}{3x}$  , then f'(1) = 

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The gradient of the tangent of the curve y = x² at origin is

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The gradient of the tangent line to the curve y = x² at the point where x = -1 is

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