Free Printable Differentiation of Exponent, Logarithm & Trigonometric Part4

Worksheets

Name

Class

Date

$\frac{\text{d}}{\text{d}x}\left(e^x+2x\right)^3$

$3\left(e^x+2\right)\left(e^x+2x\right)^2$

$3\left(e^x+2\right)^2$

$3\left(e^x+4x^2\right)\left(e^x+2x\right)^2$

$4\left(e^x+2\right)^4$

Find the derivative for $y=\sqrt{x}-\frac{1}{3x^2}+10x$

$\frac{dy}{dx}=\frac{1}{2\sqrt{x}}+\frac{2}{3x}+10x$

$\frac{dy}{dx}=\frac{1}{\sqrt{x}}-\frac{2}{3x}+10$

$\frac{dy}{dx}=\frac{1}{2\sqrt{x}}+\frac{2}{3x^3}+10$

$\frac{dy}{dx}=\frac{1}{2\sqrt{x}}-\frac{2}{3x^3}+10$

Find $\ \frac{\text{d}}{\text{d}x}\left[\ln\left(\frac{4x^2}{\left(3x-1\right)^2}\right)\right].$

$\frac{2}{x}-\frac{6}{3x-1}$

$\frac{4}{x}-\frac{2}{3x-1}$

$\frac{x}{2}-\frac{3}{3x-1}$

$\frac{x}{4}-\frac{4}{3x-1}$

Find the differentiation of $\ln\left(\sqrt{x^3+2x}\right)$

$\frac{3x^2+2}{x^3+2x}$

$\left(\frac{1}{2}.\frac{3x^2+2}{x^3+2x}\right)$

$\frac{3x^2+2}{x^3+2}$

If the gradient of the tangent is $\frac{4}{3}$ , what is the gradient of the normal at the same point?

$-\frac{3}{4}$

$\frac{4}{3}$

$\frac{3}{4}$

$-\frac{4}{3}$

Write the slope of the line tangent to the graph of y=x² – 2 at the point x = -8.

-4

-8

-16

100 %

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