menu
bartleby
search
close search
Hit Return to see all results

the limit         limh→0  (√(25+h) - 5)/hrepresents the derivative of some function f(x) at some number a. Find f and a.

Question

the limit

         limh→0  (√(25+h) - 5)/h


represents the derivative of some function f(x) at some number a. Find f and a.

check_circleAnswer
Step 1

We know th...

f'(a) = lim £(a+h) -f(a)
h 0
(i)
h
Now
lim V25+h-5
h-0
Rearranging the above expression and we get
lim V20+(5+h)-v20+5
(ii)
h-0
Comparing the equation (i) and (ii), we get
f(x)20x and a = 5
help_outline

Image Transcriptionclose

f'(a) = lim £(a+h) -f(a) h 0 (i) h Now lim V25+h-5 h-0 Rearranging the above expression and we get lim V20+(5+h)-v20+5 (ii) h-0 Comparing the equation (i) and (ii), we get f(x)20x and a = 5

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Calculus

Derivative

Related Calculus Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Prove the limit using epsilon/ delta.

A: To prove the statement by using epsilon, delta definition of a limit is,

question_answer

Q: A stone is tossed into the air from ground level with an initial velocity of 33 m/s. Its height at t...

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question ...

question_answer

Q: Find two vectors parallel to v of the given length. v PQ with P(1,7,1) and Q(0,2,5); length 84 The v...

A: From the given information, two vectors parallel to v and its length is 84.

question_answer

Q: Let x24 x-2, 22 124 x, 24 <x< 124, f(x) x+1 x 124 Find the following limits or explain why they don'...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

question_answer

Q: Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars) real...

A: Consider the given equation for the monthly benefit by renting x apartments:

question_answer

Q: please answer all parts of question 4

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

question_answer

Q: Can you please help me step by step with this problem?

A: Concerning the graphs of the function f(x) and its derivative f'(x)

question_answer

Q: Name HW Math 115 Fall 2019 Group # Problem 4- Revisiting Composition of Functions: Refer to the 3 fu...

A: Here the given 3 functions are f(x) = 2 x - 3 , g(x) = |x+2| - 7 and h(x) = 7x+4-1. In part (a) Clas...

question_answer

Q: How do you find the derative of that function pictured in the image I attached?

A: Given, 

Sorry about that. What wasn’t helpful?