Mastering The Chain Rule: How To Find The Derivative Of A Function Of A Function

d[c]/dx

0

This is the derivative of function c with respect to x. To find this, we need to use the rules of differentiation. The derivative of a constant is zero, so if c is a constant, then d[c]/dx = 0. If c is a function of x, then we need to use the chain rule, which states that the derivative of a function of a function is the derivative of the outer function multiplied by the derivative of the inner function. So, if c(x) = f(g(x)), then d[c]/dx = f'(g(x)) * g'(x). For example, if c(x) = (x^2 + 1)^3, then d[c]/dx = 3(x^2 + 1)^2 * 2x = 6x(x^2 + 1)^2.

More Answers:

Mastering The Power Rule: Finding The Derivative Of Ax With Respect To X
Master The Basics Of Calculus: The Derivative Of X With Respect To X
Discover The Power Rule Of Differentiation And Find The Derivative Of Xⁿ With Respect To X

Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded

Share:

Recent Posts

Mathematics in Cancer Treatment

How Mathematics is Transforming Cancer Treatment Mathematics plays an increasingly vital role in the fight against cancer mesothelioma. From optimizing drug delivery systems to personalizing

Read More »