Question Detail
Question
The derivative of a function y = f(u) of another function u = g(x) is given as...........
Correct Answer
Option C is the correct answer.
Detailed Explanation
This describes the Chain Rule in calculus. If y is a function of u, and u is a function of x, then the derivative of y with respect to x (dy/dx) is found by multiplying the derivative of y with respect to u (dy/du) by the derivative of u with respect to x (du/dx).So, dy/dx = (dy/du) * (du/dx).Option C, du/dx * dy/du, is equivalent to (dy/du) * (du/dx).
Hint
This is the fundamental definition of the Chain Rule in differential calculus.