Question

Find f'(x) using the limit definition of derivative. Then find f'(1).

9. Find f(z)
points)
using the limit definition of derivative. Then find f'(1
f(x) = x2 + 4x-1
privative. (8 po
expand button
Transcribed Image Text:9. Find f(z) points) using the limit definition of derivative. Then find f'(1 f(x) = x2 + 4x-1 privative. (8 po
Expert Solution

Want to see the full answer?

Check out a sample Q&A here
Blurred answer
Students who’ve seen this question also like:
Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
Not helpful? See similar books
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Functions And Models. 1RCC
marketing sidebar icon
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Find the derivative of the function by the limit process. f(x) = 12

A: we have to find the derivative of the function by the limit process. the given function is: f(x)=12…

Q: Find the derivative of the function by the limit process. f(x) = x2 − 5

A: Given function is By limit definition of the derivative

Q: Find the derivative of f(x) = √x^2 + 1 at a = 2, using the limit definition (i.e. first principles)

A: Click to see the answer

Q: 1) Use the limit definition to find the derivative of the function f(x) = 6x – x². Then find all…

A: Using limits definition:f'(x) = limh→0 f(x+h) - f(x)hf(x) = 6x - x2f(x+h) = 6(x+h)- (x+h)2   = 6x +…

Q: Suppose the derivative of ƒ is ƒ'(x) = x - 3.a. Find the critical points of ƒ.b. On what intervals…

A: We have to find: a. critical points of fb. On what intervals is f increasing and on what intervals…

Q: 3) Find the derivative of the function f(x)= x² –x+2 using the definition of the derivative (a…

A: Given:     To determine: Derivative of the function using the definition of the derivative.

Q: 6. Using the limit definition find the derivative of y t2 o IN.

A: Click to see the answer

Q: 2) Use the limit definition to find the derivative of the given function. y = 3r2 – 2x

A: Limit definition of derivative is f'(x)=limh→0f(x+h)-f(x)h

Q: 4. Use the limit definition of derivative to find f'(x) for f(x) = V5x + 1. You will only get credit…

A: Click to see the answer

Q: 5. Use the concept of limits to find derivative of f(z) = (2z + 1)3 at z = -i.

A: Given function is f(z)=2z+13 We have to find the derivative of the given function at z=-i.

Q: 2. use the fundemental derivative formula to differential the folwing at x=2 • gex) = 3x-1 2メ+1 (1o…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 3 Find the derivative with gicapeet to X If f(0 = 0-7 The derivatie with reapeet to X If -7X is…

A: Click to see the answer

Q: Suppose g(x)=4x^2-lnx is the derivative of f(x). Compute Lim x->0 (f(x+1)-f(1)/x) Please show steps…

A: Click to see the answer

Q: 4. Consider the function f(x) = Vx – 1 (a) Use the limit definition of derivative to find f'(x)

A: Ans:- Consider the function f(x)=x-1(a) we have to use the limit definition of derivative to find…

Q: Find the derivative by the limit process. F(x) = 13 -

A: Click to see the answer

Q: Compute dy/dx using the limit definition of the first derivative for f(x) = 3x2

A: Given function is f(x)=3x2. we have to find the derivative using limit definition .

Q: Find the derivative of the function by the limit process. f(x) = 5 − 2/3 x

A: Click to see the answer

Q: Find the derivative of the function by the limit process. h(s) = −2 (square root of x)

A: Click to see the answer

Q: FIND THE DERIVATIVE BY THE LIMIT PROČESS OFF(x) = Vx+2.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1) Use the limit definition to find the derivative of the function f(x) = 3x – 5x?. Then find all…

A: Derivative of the function in terms of limit is f'(x)=limh→0f(x+h)-f(x)h

Q: Find the derivative by the limit process. x) = 11 -x

A: Given, f(x)=11-x2

Q: Find the derivative by the limit process. f(x) = 10 – x2 %3D

A: We know that the derivative of a function fx is given by:f'x=limh→0fx+h-fxh

Q: Find the derivative of the function by the limit process. f(x) = 3x- 1 - (x), J

A: fx=3x-1

Q: Find the derivative by the limit process. f(x) = 13 – x2

A: Given that: f(x)=13-x2

Q: Find the derivative of the function by the limit process. 9. f(x) = %3D f'(x) =

A: Click to see the answer

Q: 1. Find the derivative by the limit process (General definition of the derivative): f(x) = Vx2 - 4

A: The derivative of a function f(x) is defined as follows:

Q: Find the derivative of the function by the limit process. f(x) = 5x − 4

A: fx=5x-4

Q: Find the derivative by the limit process. f(x) = 15 – x²

A: Givenf(x)=15-x2Step -1From the definition of derivativef'(x)=lim∆x→0f(x+∆x)-f(x)∆x

Q: what the derivative fxy er hin ction Sas)=x'tan)

A: Click to see the answer

Q: Find the derivative of the function by the limit process. f(x) = 7x − 3

A: GIven function: f(x) = 7x − 3 Formula used:

Q: Approximate the derivative of f(x) = x² + 4x + 5 at x = 3 using the forward, backward, and central…

A: f(x) = x2 + 4x + 5 h = Δx = 2 xi = 3         f(xi) = 26 xi+1 = 5          f(xi+1) = 50 xi-1 = 1…

Q: How do you find the derivative of f(x) = 5 using the limit definition of derivatives? I know it is…

A: Click to see the answer

Q: Find the derivative at the given x-value with the appropriate rule. y=4-18sqrt x at x=4

A: Click to see the answer

Q: 2. Approximate the derivative of f(x) forward, backward, and central difference method and step size…

A: To obtain the derivative at the point x0,y0, the following methods can be used:- The forward…

Q: II. Compute the right-hand and the left-hand derivatives as limits to show that the following…

A: Given,

Q: Find the equation of the line tangent to the graph of y = r-2x at the point T= 2. Use the limit…

A: Click to see the answer

Q: 1. Use forward, backward and central difference to estimate the first and second derivative of f (x)…

A: Given function is fx=coshx and x=2 Step size h=0.01 We have to estimate the first and second…

Q: If ƒ(x) = x^n, n>=1, show from the definition of the derivative that ƒ′(0) = 0.

A: Given,

Q: Find The derivaTive of f(X) = -x²+ 3X + 2 Using the de finiTion of the derivative

A: Click to see the answer

Q: It appears that f is not differentiable at a = 0. Moreover, the tangent line does not exist at this…

A: yes it is true.

Q: .2 Find the tangent line to y = x-x+2 at x=2.

A: Given - A function To find- Equation of tangent

Knowledge Booster
Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
  • Calculus: Early Transcendentals
    Calculus
    ISBN:9781285741550
    Author:James Stewart
    Publisher:Cengage Learning
    Thomas' Calculus (14th Edition)
    Calculus
    ISBN:9780134438986
    Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
    Publisher:PEARSON
    Calculus: Early Transcendentals (3rd Edition)
    Calculus
    ISBN:9780134763644
    Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
    Publisher:PEARSON
  • Calculus: Early Transcendentals
    Calculus
    ISBN:9781319050740
    Author:Jon Rogawski, Colin Adams, Robert Franzosa
    Publisher:W. H. Freeman
    Precalculus
    Calculus
    ISBN:9780135189405
    Author:Michael Sullivan
    Publisher:PEARSON
    Calculus: Early Transcendental Functions
    Calculus
    ISBN:9781337552516
    Author:Ron Larson, Bruce H. Edwards
    Publisher:Cengage Learning
  • Calculus: Early Transcendentals
    Calculus
    ISBN:9781285741550
    Author:James Stewart
    Publisher:Cengage Learning
    Thomas' Calculus (14th Edition)
    Calculus
    ISBN:9780134438986
    Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
    Publisher:PEARSON
    Calculus: Early Transcendentals (3rd Edition)
    Calculus
    ISBN:9780134763644
    Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
    Publisher:PEARSON
    Calculus: Early Transcendentals
    Calculus
    ISBN:9781319050740
    Author:Jon Rogawski, Colin Adams, Robert Franzosa
    Publisher:W. H. Freeman
    Precalculus
    Calculus
    ISBN:9780135189405
    Author:Michael Sullivan
    Publisher:PEARSON
    Calculus: Early Transcendental Functions
    Calculus
    ISBN:9781337552516
    Author:Ron Larson, Bruce H. Edwards
    Publisher:Cengage Learning