Purchase Solution

Find the Derivative

Not what you're looking for?

Ask Custom Question

See attached file for full problem description.

28. f(x) = (x3 + 3x + 2)/(x2 + 1)

32. f(x) = (cube root of x)(square root of x + 3)

14. f(x) = (x2 - 2x + 1)(x3 - 1)

18. (sinx)/x

20. f(x) = cosx/ex

Attachments
Purchase this Solution

Solution Summary

The solution uses the quotient rule and the power rule to find the derivatives of five functions.

Solution Preview

28. f(x) = x3 + 3x + 2
x2 + 1

For this problem, remember that the derivative of a rational function f(x)/g(x) is g(x)f'(x) - f(x)g'(x)
[g(x)]2

f(x) = x3 + 3x + 2
x2 + 1

f'(x) = (x2 + 1)(3x2 + 3) - (x3 + 3x + 2)(2x)
(x2 + 1)(x2 + 1)

f'(x) = (3x4 + 6x2 + 3) - (2x4 + 6x2 + 4x)
(x2 + 1)(x2 + 1)

f'(x) = x4 - 4x + 3
(x2 + 1)(x2 + ...

Purchase this Solution


Free BrainMass Quizzes
Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Probability Quiz

Some questions on probability

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.