Purchase Solution

When to use the Chain Rule

Not what you're looking for?

Ask Custom Question

The key is whether or not you are plugging the result of a function into another function. The idea is shown by contrasting the procedures for taking the derivatives of sin(x^2) and x^2*sin(x).

Purchase this Solution
Solution Summary

The usage of the Chain Rule with reference to a specific derivative is discussed.

Solution Preview

Please see the attached file(s) for the complete solution.
Thanks for using BrainMass.

If anywhere in the problem the result of a function is put into another function, then you will be using the Chain Rule.

If you look at the problem , your variable, , is ...

Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers

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

Graphs and Functions

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

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.

Exponential Expressions

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

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

View More Free Quizzes
Related BrainMass Solutions

  • Calculus for Business

    Please use the Chain Rule 16. f (w) = w √w + w² (√w is only squared) Please use the Chain Rule 18. y = 4x³ - 8x² Please use the Chain Rule 5x 46.

  • Chain rule

    Use chain rule again for cos(x^5)'.

  • Apply the chain rule to finding partial derivatives.

    34549 Apply the Chain Rule to Finding Partial Derivatives A. Use the chain rule to find dz/ds and dz/dt as functions of x, y, s and t B. Find the numerical values of dz/ds and dz/dt when (s,t) = (2, -2). Suppose z = x2 sin y, x =...

  • Use chain rule for the first three derivatives of cos^2(2x)

    289849 Use chain rule for the first three derivatives of cos^2(2x) I need to know how to find first 3 derivatives for f(x) = cos(sq) 2X. I am able to find derivatives for similar problems, but the 2X portion is throwing me off.

  • Chain rule

    The procedure will look like this: This explains when to use the chain rule with examples. The contrast procedures for taking the derivatives are given.

  • Derivative Problems

    Find the 1st derivative of f(x) = [(3 - x^(2/3))][(x^(2/3) + 2)^(1/2)] Rewrite: You should use the product rule and the chain rule in this case Product rule: Chain rule: so, Prob. 4.

  • 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

  • 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.

  • Implicit differentiation : the chain rule and product rule.

    5496 Implicit differentiation : the chain rule and product rule. Use implicit differentiation to find dy/dx if y^2 + 3xy + x^2 + 10 = 0 (1) where y is a function of the independent variable x.

View More Related Solutions