Chain Rule

Study.com can help you get the hang of Chain rule with quick and painless video and text lessons. Review vocabulary with flashcards or skim through our library of thousands of common homework questions and answers. You can even take a practice quiz or exam to measure your progress.

Study tools on Study.com
30,000+ Video Lessons
2,000,000+ Questions and Answers
65,000+ Quizzes

Chain Rule Video Lessons (2 video lessons)

Watch simple explanations of Chain Rule and related concepts.

Chain Rule Questions and Answers (5,395 questions and answers)

Test your understanding with practice problems and step-by-step solutions.

Find the partial derivative of the function f(x,y)= \frac{2x+3y}{-9x+1y}. f_y(x,y)= _____
Let w be defined implicitly as a function of variables ''x'' and ''y'' by the equation x^ 2 - y + xyw = w^2. Find \dfrac{\delta w}{\delta y} at the point (1, 1, 1).
Let z = x^{2018} f(\frac{y}{x^2}), where f is a differentiable function, show that x \dfrac{\delta z}{\delta x} + 2y \dfrac{\delta z}{\delta y} = 2018 z.
Use the chain rule to find the indicated partial derivatives. T = \frac {v}{2u + v}, u = pq\sqrt r, v = p\sqrt q r; \frac {\partial T}{\partial p}, \frac {\partial T}{\partial q}, \frac {\partial T
Find the derivative of the given function. f(x) = (1 - 2x)^7
Find the derivative of the given function. f\left( x \right) = \sqrt {1 - {x^2}}
Find the derivative of the given function. h\left( x \right) = 50{\left( {{x^4} - 4{x^3} + 7} \right)^3}
Let F (x) = f ( x f (x^2)). Suppose that f (4) = 3, f' (4) = 5, and f' (6) = 3. Find F' (2).
How do you find (d^2y) / (dx^2) for 5 = x^2 - 2y^2?
Find the first derivative of f(x)=ln(3x^2-7x).

Chain Rule Quizzes (3 quizzes)

Check your mastery of this concept by taking a short quiz.

How to Use the Chain Rule to Differentiate Complex Functions
Partial Derivatives Chain Rule
Chain Rule in Calculus

You may also be interested in these other concepts related to Chain Rule

More general concepts
Support