×
×

# Solved: Calculating derivatives a. or the following ISBN: 9780321570567 2

## Solution for problem 52E Chapter 3.1

Calculus: Early Transcendentals | 1st Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Calculus: Early Transcendentals | 1st Edition

4 5 1 352 Reviews
22
3
Problem 52E

Calculating derivatives a.?? or the following functions, find f using the definition? f (x) = lim f(x+h)?f(x). h?0 h b.? ?Determine an equation of the line tangent to the graph of f at? (?a?, ?f?(?a?)) ?for the given value of a. f(x) = ;a =? 5 x

Step-by-Step Solution:
Step 1 of 3

SOLUTION STEP 1 (a). Given f(x) = 1 . x We need to find the derivative of f(x) using the definition of the derivative f(x+h)f(x) The definition of the derivative is f (x) = lim h h0 f(x + h) = 1 x+h 1 1 xxh Thus f (x) = lim x+h x= lim x(x+h= lim h h0 h h0 h h0 hx(x+h) 1 1 = h0 x(x+h)= x2 STEP 2 (b). Determine an equation of the line tangent to the graph of f at (a, f(a)) ,{ie,(-5,f(-5))} for the given...

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321570567

Since the solution to 52E from 3.1 chapter was answered, more than 330 students have viewed the full step-by-step answer. The answer to “Calculating derivatives a.?? or the following functions, find f using the definition? f (x) = lim f(x+h)?f(x). h?0 h b.? ?Determine an equation of the line tangent to the graph of f at? (?a?, ?f?(?a?)) ?for the given value of a. f(x) = ;a =? 5 x” is broken down into a number of easy to follow steps, and 47 words. This full solution covers the following key subjects: Calculating, definition, Derivatives, determine, equation. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The full step-by-step solution to problem: 52E from chapter: 3.1 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.

Unlock Textbook Solution