Question: Directions: Consider the following function f(x). f(x) = 4x - 5x Part 1 - Difference Quotient If h0, then the difference quotient can be

Directions: Consider the following function f(x). f(x) = 4x - 5x Part 1 - Difference Quotient If h0, then the difference quotient can be simplified into the form A + Bh+ Ch That is: f(x+h)-f(x) h = A + Bh+ Ch where the coefficients A, B, and C can be functions of a or just constant terms. Find these coefficients: A = -5 (Note: It's possible for one or more of these coefficients to be 0.) f'(x) = 12x^2-5 B = -5 Part 2 - Derivative Use the simplified expression from Part 1 to then calculate the derivative f'(x): f(a+h)-f(x) h C = 4 f'(x) = lim h-0
Step by Step Solution
3.37 Rating (153 Votes )
There are 3 Steps involved in it
The given function is fx 4x3 5x The task is to find the coefficients A B and C in the difference quo... View full answer
Get step-by-step solutions from verified subject matter experts
