A three times differentiable function fwith f'(x) 0 has a D-derivative at x given 2 f'"(x) 3(f"(x) Df(x)=(x) 2 f(x), 1. Compute Df(x) where f(x) = ex. 2 2. Show that D(f o g)(x) ((Df) g)(x) (g'(x))Dg(x) - Assuming that both Df(x) and Df-1(x) exist, find a formula for Df-1(x) 3. X tnt dt for t > 0. 4. Compute Df-1 (0) where f(x) = 1

A three times differentiable function fwith f'(x) 0 has a D-derivative at x given 2 f'"(x) 3(f"(x) Df(x)=(x) 2 f(x), 1. Compute Df(x) where f(x) = ex. 2 2. Show that D(f o g)(x) ((Df) g)(x) (g'(x))Dg(x) - Assuming that both Df(x) and Df-1(x) exist, find a formula for Df-1(x) 3. X tnt dt for t > 0. 4. Compute Df-1 (0) where f(x) = 1

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.CR: Chapter 9 Review

Problem 54CR

See similar textbooks