x3 - 2/x + 1 Using quotient rule, which of the following derivatives is true for the function y = 2r (x³ – 2/F +1) x2 3x2 A 2x 3x2 B 2r (x³ – 2/ī + 1) – x²| 3x?

Q: 1. f(x) = e3x B. Find the derivative of the following using chain rule 1. f(x) = (x3-6x + 1)9 %3D 2…

A: i solved part second as per student

Q: -3 Find the derivative for the function f(x) = (5x-4 + 3x + 7) (8x−³ − 7x + 10) 5. Do not simplify…

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Q: 4x-3, 15. What is the derivative of f(x) ? Зх+2 17 a. (3x+2)2 4x2-3x b. 3x2+2x С. 16 d. (3x+2) 16.…

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Q: 4x - 4 if x > 2 Suppose f(x) = Find f'(2) using the definition of derivatives. if x < 2

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Q: 2. Find the derivative of (a) f(x) = x4 +2x-2 + 4ex

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). f(x) = x3…

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Q: g(x) = 2x^6-5x^4+3x^3-x^2+8x-9

A: Given: g(x)=2x6-5x4+3x3-x2+8x-9 To find: The nth derivative of the function.

Q: 5x+√x 3.y=(x²+1)² 4. Using y = 5x + 3x² + 1, find all the derivatives and evaluate f"(2) f(3) (-2).…

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Q: A. Determine the derivative of the following using the Four-Step Rule. 1. f (x) = 4x – 5 2. f (x) =…

A: In problem A, We have to find the derivative using 4 step rule and in problem B, using fundamental…

Q: y to find the derivatives of the following functions before we continue. a. F(x) = x³ + 2x2 + x b.…

A: a) F'(x) = 3x2 +4x +1  b) F'(x) = 3x2 +2x +1  c) F'(x) = 9x2+3

Q: 2. a) Find and fully factorise the derivative of f(x) = (2x + 1)2 using expansion and the power…

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Q: 3x+7x What is the first derivative of f(x) = In(A? 5x Select the correct answer below: Os) = 6x-7…

A: Topic:differentiation

Q: What is the derivative of f(x) · g (x) in terms of f g? -1 Compute the derivative of -sin(x) · 2x…

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Q: 4. Find the derivative. x? + 6x – 5 (a) 5х -1 (b) ƒ(x) = (3xr² – 5x - 7)' Us e chain rule (c) y =(x-…

A: Topic:- derivatives

Q: x = 1. 2. Find the derivative of f(x) = 3x² - 5x at x = 1 using the formula f'(x) = lim f(x)-f(xo)…

A: The given function is fx=3x2-5x at x=1 by using the formula f'x=limx→x0fx-fx0x-x0. Find the…

Q: 3. (a) Determine the derivative of y = x3 +x using the product rule first. 1- 3x (b) Determine the…

A: As per Bartleby policy,only 1 question at a time can be asked.Please post separately for the…

Q: At what value of x does the function f(x)=x' -3r? -9x change from deceasing to increasing? 1 -1 Find…

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Q: 1. Find the first derivative of the function g(x) = 6x+ 27r'+36x. g'(x) 18x + 54r +36 2. Find the…

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Q: |(x+ 1) |(x – 1) Find the derivative of k(x) = ln A. k'(x) = x2-1 -1 В. К(х) — (x²+1)

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Q: Find the derivatives – do not simplify a. y= x4- 3square root of x + 5x2/3 +8/x-3

A: ddxxn=n xn-1

Q: Calculate the derivative. f(x) = 6-9x1/3 +9e* (Use symbolic notation and fractions where needed.) d…

A: A detailed solution is given below

Q: -3- 6. USE THE ALTERNATIVE FORM OF THE DERIVATIVE TO FIND THE DERIVATIVE (IF IT EXISTS) OF f(x) = x²…

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Q: Find derivative by Quotient Rule and by simplifying first.

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Q: x² + 3 Find the derivative of the functionf (x) = V2x +5 3x2+10x – 13 A. f'(x) = f"(x). %3D…

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Q: _4. What is the first derivative of f(x) = (x² – 4)(3x – 2)? а. 9х? - 4х — 12 b. (2х)(3) C. 6x d. (x…

A: Topic:- derivatives

Q: Q-1] Find the derivative of the function -9 9 -7 -4 -3 9. 3 6- f(x) = det 6 -1 -2 5 -8 -8 1

A: It is known that if fx=axbxcxdx , then f'x=a'xb'xcxdx+axbxc'xd'x Given matrix is…

Q: 2(1-x²) (1+x²)² A. f'(x) = B. f'(x) = c. f'(x) = D. f'(x): = f(x) = find the derivative of this…

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Q: a) Using the definition of derivative, calculate the derivative of the function of f(x) = /3x +1 (b)…

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Q: Consider f(x) = x 4 − 32x2 + 10 a) Use the derivative rules to find the equation of the tangent line…

A: To Determine:                               a) Use the derivative rules to find the equation of the…

Q: Determine the derivative -d/ 4 8 +³−1 - 17x y= y = 25 x-5 x+6

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Q: 7x +5 5x +1 Evaluate the derivative of y = In where x = 3.25.

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Q: Find the first and second derivatives of the given function. f(x) = −0.9x2 + 0.6x + 3

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Q: Find the derivative of: y = 4x^2 – 1/x   y’ = 2x – x^(-2) y’ = x^(-1) + 8x y’ = 8x - x^(-2) y’ =…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: x² + 1 What is the derivative of y= - x2 + 4 A None of the given choices 10x B (x² + 4)²

A: The given function is y=x2+1x2+4 Differentiate with respect to x,

Q: 7. x' +6x Find the derivative of the function f(x)=- A) f"(x) = x² +2 f'(x) =x² +6 C) f'(x)=x +2x…

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Q: (x² + 1)(x +3)² 18. Find the derivative of y = In %3| x -1

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Q: FIND THE DERIVATIVE OF THE FUNCTION DESCRIBED. (25 1. y (x2- 1) (2x+1) 2. y 2x2 (4x² + 3x- 5) 3 y +1…

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Q: Find the first and second derivatives of the function. f(x) = (3x2 + 8)7/2 f '(x)  =        f ''(x)…

A: The given function is fx=3x2+872.

Q: Find the derivative of f (x) = coth³( In(x³)). -9coth (In(x³)) csch²(In(x³)) A B - 9x?coth ( In(x³))…

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Q: 2z - 8z Use the chain rule to find the derivative of f(x) = 3e f'(x) =

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Q: 4. Determine lim 3x +x?. *--2 а. 10 с. 6. b. -2 d. -4 dy 5. Determine the derivative for y = 2x' -…

A: Dear student policy is to answer first one only yet I answering first three  for you kindly repost…

Q: 7. The derivative of g(x) = x - 2x? + x - 1 is g'(x) = 3x – 4x. 8. The derivative of R(z) = 2 is…

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Q: 1. Find the first derivative of the function g(r) 6x + 27x2 +36x. g'(x) = %3D 2. Find the second…

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Q: Find the derivative of the function. Do not find the product before finding the derivative. y = (8x²…

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Q: x² +1 Find the second derivative of the function, f(x)= x² -4 %3D

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Q: -6x 11x-5 + 22x-1 +5' — 6х 4 — 13х 3 2. (7 points) Find the derivative of h(x) = Do NOT simplify.

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Q: Find the derivative of the following algebraic functions. Show your solution. 1.) f(x)=x√(3-2x2

A: You must have idea about chain rule of differentiation to understand it better.

Q: fidn the first derivative of y with respect to x using increment method y=2x^2-5x+7

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Q: x -6x-1 3 x2 Find the derivative of the function f(x) = at the point -1.

A: Topic = Derivative