Calculus 1: Derivative

Question

Use given data to find the value of the indicated derivative.

u(1) = 5, u '(1) = -6, v(1) = 6, v '(1) = -2.

 (3v - u) at x = 1

Answer 1

using differentiation property rules, we can rewrite the problem:

d/dx (3v – u) = 3 d/dx (v) – d/dx (u)

when evaluating at x = 1... 3(-2) – (-6) = 0