Math Problem Statement
but now you're on board the spaceship #1725486563, and the captain is asking to solve "ZP" (Z Planet) problem (you know what it means when captain is "asking"... that's an order):
Use the chain rule to find the derivative of f(x)=2e10x8+3x5f(x)=2e10x8+3x5
f'(x)=f′(x)=
!!! The challenge is that the Chain Rule on Earth, f(g(x))'=f'(g)g'(x)f(g(x))′=f′(g)g′(x) , is "twisted" on Z planet as the following:
f(g(x))'=f'(g)g'(x)f(g(x))′=f′(g)g′(x) (all the other rules have not been changed).
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Calculus
Differentiation
Chain Rule
Formulas
Derivative of exponential function: d/dx(e^g(x)) = e^g(x) * g'(x)
Power rule: d/dx(x^n) = n * x^(n-1)
Theorems
Chain Rule
Suitable Grade Level
University level