Derivative Defined as Limit of Difference Quotient

Practice Questions

AP Calculus BC › Derivative Defined as Limit of Difference Quotient

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10 of 19

1

Find the derivative of at point .

2

Given $f(x)=5x^{2}+6x-12$ , find the value of at the point .

3

If $f(x)=\ln(2x)$ , which of the following limits equals ?

4

What is the equation of the line tangent to the graph of the function

$f(x) = x^{3} + x - 17$

at the point ?

5

What is the slope of the tangent line to the function

$h(x)=e^{x}ln(x)$

when

6

What is the equation of the line tangent to the graph of the function

$f(x) = 2 \sin \frac{\pi x}{6}$

at the point ?

7

What is the equation of the line tangent to the graph of the function

$f(x)= \log (x+3)$

at the point ?

8

Find the derivative of the following function at :

$h(x)=2x\sin(x)$

9

What is the equation of the line tangent to the graph of the function

$f(x)= \frac{8}{x}$

at ?

10

$g(x) = \sec \frac{\pi}{x}$

Evaluate .

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