Math Problem Statement

Find the value of (f ∘ g)' at the given value of x.

f(u) = (u-1)/(u+1), u = g(x) = , x = 49

Solution

To find the value of (fg)(f \circ g)' at x=49x = 49, we need to apply the chain rule, which states:

(fg)(x)=f(g(x))g(x)(f \circ g)'(x) = f'(g(x)) \cdot g'(x)

Steps:

  1. Define the functions:
    • f(u)=u1u+1f(u) = \frac{u-1}{u+1}
    • g(x)g(x) is missing in the problem. To proceed, I will need the explicit form of g(x)g(x).

Can you please provide the function g(x)g(x)?

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Calculus
Chain Rule
Derivative

Formulas

(f ∘ g)'(x) = f'(g(x)) ⋅ g'(x)

Theorems

Chain Rule

Suitable Grade Level

Grades 11-12