Learn about the chain rule and how to use it to solve calculus problems. In the process, learn about composite functions and see examples of using...
Learn how to differentiate a function using the chain rule of differentiation. Find various chain rule derivative examples with various function...
The chain rule for multivariable functions where the variables are themselves multivariable functions is then explained; and to illustrate this general form of the chain rule we study several examples in detail. 1. Chain Rule Recall that the chain rule for functions of a single variable gives the...
The chain rule for derivatives of a function of a function is extended to a function of a statistical functional, and applied to obtain approximations to the cumulants, distribution and quantiles of functions of sample moments, and so to obtain third order confidence intervals and estimates of ...
Dependent Variable which is related to the independent variable in some way. Sometimes for the complex and mixed type of functions, finding the derivative is very hard. For such problems, the chain rule is very effective. In this topic, we will discuss the chain rule formula. Let us learn ...
It is well known that the chain-rule equation ( d / dt ) f ( A ( t ))= A ′( t ) f ′( A ( t )) is valid if A ( t ) A ′( t ) = A ′( t ) A ( t ). We investigate the extent to which the converse holds....
Use the Chain Rule to find the derivative. y= cos3(12x) The Chain Rule: The chain rule provides a formula to differentiate composite functions with the formula, dydx=dydfdfdx, where y is a composite function which consists of an inner function f. This ru...
Differentiating trigonometric functions using the chain rule Show Step-by-step Solutions Differentiating trig. functions to a power using the chain rule Show Step-by-step Solutions Try the freeMathway calculator and problem solverbelow to practice various math topics. Try the given examples, or type...
Chain Rule Formula in differentiation is defined for composite functions. Chain rule, chain rule of differentiation, chain rule formula, chain rule in differentiation, chain rule problems at BYJU'S
Chapter 8/ Lesson 13 54K The rules of differentiation are useful to find solutions to standard differential equations. Identify the application of product rule, quotient rule, and chain rule to solving these equations through examp...