Purchase Solution

Chain rule

Not what you're looking for?

Ask Custom Question

Use Chain rule to solve: y=sin((ln(x^2+e^x)+2)^(1/2))^3.

Purchase this Solution
Solution Summary

This uses the chain rule to differentiate an equation. The differentiation chain rules are provided.

Solution Preview

(see the attached solution file)

First rewrite as so that it is easy to see the use of the Power Rule (remember that really means and that is the same as ). The innermost function in all of this is (it counts as a single function because the result of neither function is being plugged into the other). Set this equal to a convenient letter (I am calling these convenient letters intermediate variables): . The next function out from this is the ln, which is having 2 added to it, so make the assignment . ...

Purchase this Solution
Free BrainMass Quizzes
Basic Physics

This quiz will test your knowledge about basic Physics.

Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

The Moon

Test your knowledge of moon phases and movement.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

View More Free Quizzes
Related BrainMass Solutions

  • Derivatives: Chain Rule

    5312 Derivatives: Chain Rule Please see the attached file for the fully formatted problems. For a composite function f(x) = g(u(x)) state the chain rule for the derivative f(x).

  • Differentiation

    14740 Derivatives using product rule, quotient rule, or chain rule. Find the derivative of each expression, using the product rule, quotient rule, or chain rule. 1. P= e^(2x)/x 2. B= square root of sin * square root of x 3.

  • Derivatives Chain Rule

    91418 Finding derivative of a rational function using Chain rule or determining du/dx of a rational function Calculus - Chain Rule. Finding Derivatives using Chain Rule. See attached file for full problem description. Please see the attached file.

  • Prove Using the Chain Rule

    the chain rule.

  • Derivative using the product rule and the chain rule

    We use the product rule and the chain rule to find the derivative of this exponential function

  • Calculus for Business

    the chain rule.

  • Integrate using chain rule with inserting coefficient.

    30669 Integrate using chain rule with inserting coefficient. Integrate (3x+1)^1/2 dx rewrite as Integrate (3x+1)^1/2 1*dx use chain rule with inserting coefficient. Please see the attached file for the complete solution.

  • Partial Differentiation and the Chain rule

    The chain rule they come with are determined.

  • Chain Rule : Finding Where f is Differentiable

    109533 Chain Rule : Finding Where f is Differentiable Using the chain rule, show that if z = y + f(x^2 - y2), where f is differentiable, then partial derivatives y(dz/dx) + x(dz/dy) = x Please see the attached file for the complete solution.

  • Using the Chain rule for derivatives in higher dimension

    The solution comprises a one page Word document with equations written in Mathtype illustrating the use of the higher dimensional Chain rule.

View More Related Solutions