Differentials ?Consider the following functions and express the relationship between a small change in x and the corresponding change in y in the?form dy = ? ? ? f(? ) ? x. ? ? f(? )= tan ?x
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Solution 37E STEP 1 Let f be the function differentiable on an interval containingx.The small change in x is denoted by the differential dx. The corresponding change in f is approximated by the differential dy = f(x)dx STEP 2 Given the function f(x) = tan(x) Then f (x) = sec (x) Therefore dy = f (x)dx dy = sec (x) dx
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
This full solution covers the following key subjects: change, form, corresponding, Differentials, express. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The full step-by-step solution to problem: 37E from chapter: 4.5 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The answer to “Differentials ?Consider the following functions and express the relationship between a small change in x and the corresponding change in y in the?form dy = ? ? ? f(? ) ? x. ? ? f(? )= tan ?x” is broken down into a number of easy to follow steps, and 38 words. Since the solution to 37E from 4.5 chapter was answered, more than 398 students have viewed the full step-by-step answer.