How to find solutions to differential equations

Practice Questions

CLEP Calculus › How to find solutions to differential equations

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1

Find the derivative of the function.

$f(x)=\ln(e^{15x})$

2

Find the first derivative of the following:

3

Find given:

4

Find the derivative of .

5

$f(x)= 4x^{3}-12x$

What is the slope of this curve at ?

6

Find the solution to the following differential equation:

Assume is a function of

7

What is the derivative of $\sin (7x+6)$ ?

8

Suppose is greater than zero. Solve the differential equation: $y'= \frac{x^2}{y^\frac{1}{2}}$

9

Finding where the first derivative is positive tells us what about an equation?

10

Differentiate the expression.

$x^{2}\sin(x)$

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