Rules of Basic Functions: Power, Exponential Rule, Logarithmic, Trigonometric, and Inverse Trigonometric

Practice Questions

AP Calculus BC › Rules of Basic Functions: Power, Exponential Rule, Logarithmic, Trigonometric, and Inverse Trigonometric

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1

$f (x) = 7x^{2} + 6x - 9$

Give .

2

$f(x)= 8x^{3}-7x^{2}+11$

Give .

3

Differentiate $x^{999}$ .

4

$f(x) =0.9x^{4} + 0.7x^{3}- 0.5 x$

Give .

5

Find the derivative of:

6

Find the derivative of the following function:

$f=\ln\sec(5x)$

7

What is the rate of change of the function at the point ?

8

Find the derivative of the function $y= \int_{1}^{x}t^2e^t\ln(t)\sin(t)dt$

9

Compute the derivative of the function

$y=\tan^3(2x)$ .

10

Find the derivative of $y= e^{2}x$ .

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