Purchase Solution

Finding a 12th Derivative

Not what you're looking for?

Ask Custom Question

Find the derivative of f(x) = (x^2 -1)^3 /(2x^2).
Find the 12th derivative of f(x) = cos x.

Purchase this Solution
Solution Preview

Find the derivative of f(x) = (x^2 -1)^3 /(2x^2)
Pull out 1/2:
f(x) = (1/2) * (x^2 -1)^3 /(x^2)
Use the product rule, with u = (x^2-1)^3 and v = (x^2)^-1, and don't forget the 1/2:
f'(x) = (1/2) * (uv' + ...

Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

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.

Graphs and Functions

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

Probability Quiz

Some questions on probability

View More Free Quizzes
Related BrainMass Solutions

  • Derivative

    Using the rule of substitution, take u = 2πx, then du/dx = 2π f(x) = sin2πx = sin u Using the chain rule, f'(x) = This solution is comprised of a detailed explanation to Show all steps in finding the derivative of: f(x) = sin2(pi)x

  • Differentiation: Finding the Derivative

    which then simplified to sinx(2cosx-1) When do the derivative, I get cos^2x -sinx Would you explain what I am doing wrong in finding the derivative if you can figure that out, and would you please provide a step by step analysis of how the you

  • Derivatives Chain Rule

    This solution is comprised of a detailed explanation of finding derivative of a function using chain rule.

  • Derivative : What are the steps?

    is 2-512/x^2 Steps to finding a derivative are shown.

  • Derivative

    This provides an example of finding derivative using quotient rule.

  • find the derivative

    382137 Calculus: Finding the Derivative In each of the following, differentiate the function and simplify your answer into the specified form. (a) g(x)=x(4sin3x+6cos3x).

  • Derivatives

    118266 Finding a Derivative Derivative of tan(1+cosx) Please see the attached file for the complete solution. Thanks for using BrainMass. A derivative is found.

  • Finding first derivative

    47955 Finding first derivative Find the first derivative of problem in attached file. It is only one problem.

  • 14 Derivative Problems : Product Rule, Quotient Rule, Chain Rule, First and Second Derivative and Finding Maximum or Minimum

    42972 14 Derivative Problems : Product Rule, Quotient Rule, Chain Rule, First and Second Derivative and Finding Maximum or Minimum Rules and Applications of the Derivative -----------------------------------------------------------------------------

View More Related Solutions