2) f(x) = x + 5 glx) = -x - 5x Find f(g(-4))

Q: Solve for the derivative of the function using chain rule. 4. f(x)= (x3+4)5/ 3x4-2

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Q: Find the higher order derivative  f'(x)=7x2-9x2+4x f'''(x)=

A: We will use the following : ddxxn = nxn-1 ddxc = 0 where c is constant.

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

A: Topic:- derivatives  Note:- as per our guideline if more than one question uploaded than only first…

Q: The first derivative of f(x) = (5x^4 - 6x)^1/3 will be?

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Q: Find the derivative of f (x) = V3x² In(3x²). 2/3x2 A 3x In(3x²) + V3x2 2 + 3x In(3x²) В

A: Given thatfx=3x2ln3x2To find : derivative of…

Q: Find the derivative of y = 3x² + 5x- 2 from first principles.

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Q: 17. f(x)=-- x*+8x

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Q: 5 In this problem we will apply the second derivative test to the function f(x) = 4x + %3D

A: Given : fx=4x+5x

Q: f(x)= (7x¹-5x-2)

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Q: What is the second derivative of f(x) 2x-3 2 x+1 10 (x+1)* 10 3 (x+1)° -10x+10 (x+1)* 10x-10 (x+1)*

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Q: The first derivative of f(x) = (5x* – 6x)-3 will be 18 – 60x3 18 – 60x³ А. (5x4 — 6х)-4 В. (5x* —…

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Q: Find the critical points and apply the Second Derivative Test (or state that it fails): f (x) = x4 −…

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Q: What is the derivative of h (x) = (7x³+4x)" ? Oh' (x) = 7(7x³+4x)6 ○ h' (x) = 7(7x³ + 4x)º (21x² +…

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Q: How do you find the derivative of f(x)= -2(3x^2-1)^3

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Q: 4х + 1 f(x) = 2 – 5x2

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Q: Find the equation of the line tangent to f(x)=3x2 +4x+5 at the point (0, 5)

A: Given : f(x) = 3x2 + 4x + 5 A point (0, 5)   To  find the equation of the tangent line.

Q: Find the derivative of f (x) = (=7 – 4z) (= ² + 4z – 1).

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Q: Find the third derivative of f(x) = 4x^3-6x^2+7x-1

A: We have to find the third derivative of  f(x) = 4x3 - 6x2 + 7x -1  First derivative of f(x) is…

Q: What is the derivative of the function r (x) 5 (9x²-2) (5x+7) (3x³-2x+2) 9x²-2 5 5x+7 3x³-2x+2 5…

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Q: [4] 2. Find f'(x) using the limit definition of the derivative. Credit will not be given for any…

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Q: Find the derivative of f(x) = V9x8 + 9x (72z + 9)-1/2 (92 + 9x) 1/2(72x + 9) O (928 + 9x)-1/2 -(928…

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Q: In this problem we will apply the second derivative test to the function f(x) = 3x – 4x°.

A: fx=3x-4x3 take derivative f'x=ddx3x-4x3 f'x=ddx3x-ddx4x3 f'x=3·1-4·3x2 f'x=3-12x2

Q: 1 If f(x, у, 2)- ôf then х— у—3z ду а. 1 (х- у-3-)2 b. -1 (х-у-3-)* С. 1 (х-у-3-)° d. 2 (х - у-3-)?

A: In Partial differentiation w.r.t y we treat x,z as constants.

Q: What is the derivative of * 3 = 4.x2 + 2y3?

A: We have to find the derivative of 3=4x2+2y3.

Q: Find the derivative of f(x) = (6x² + 6x – 4)arctan x (6x2 + 6x – 4)arctan × (In(arctan(x))- 12x-4…

A: Given function is fx=6x2+6x-4tan-1x. To find derivative of the given function. Solution: Given…

Q: 1 3. f(x) = (-x4-3)2

A: Solve for the derivative

Q: Show two ways to differentiate ƒ(x) =

A: The function f(x)=1x10. We have to differentiate this function.

Q: find the critical points and apply the Second Derivative Test (or state that it fails). f(x) = x^2 −…

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Q: 6. 3. Find the derivative of: -2Vx++ 5x – 8

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Q: find the critical points and apply the Second Derivative Test (or state that it fails).…

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Q: Find the derivative of f(x) = arctan x In(6x? + 6x – 4) - 12x 1 1 In(arctan(x)) + In(6x² + 6x – 4)-…

A: The given function is fx=arctanxln6x2+6x-4

Q: second

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Q: What is the second derivative of y = 6x² 3x³ + x² - 5 ? - Oy"= 72x² 18x + 2 Cinema) Oy" 24x³9x² + 2x…

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Q: Find the derivative. 4 20) f(x) = 4 2 ,find f'(x) + 4 10 2 B) - x3/2 x2 x4 4 10 A) x1/2 x2 x6 4 10 4…

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Q: f (x) %3D х3 -Зх2- 2 3x2

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Q: Need help with my Homework Asking for first derivative. Answer choices attached

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Q: 1. Determine the derivative of: f (x) = 4x3 – x² + 5x + 9 %3D -

A: We need to find the derivative of the given function.

Q: 6. Find the local maximum and minimum values of f (x) = 9 + 9x² – 6x³ using both the First and/or…

A: In this question we have to find local maximum and minimum values of the function.

Q: Find Derivative f'(x): f(x)= 5e²x - 40e(-0.1x) + 11 + In(4x)

A: Given f(x) = 5e2x - 40e(-0.1x) + 11 + ln(4x)

Q: .4 In(12x + x), the derivative Given g(x) = g (x) is 12x4 + x 48x3 + 1 48x +1 12x4 + x 4x3 48x³ + 1

A: Given,  gx = ln12x4+x  We have to find the derivative g'x .

Q: point =)=at x = 2 -5 at x = -2 x² +1

A: Solving

Q: What are the critical numbers of the function f(x)= 2x^(3)-2x^(2)-16x+1?

A: Let's find.

Q: What rule should be used in getting the derivative of a.)y = x^8 + 2x^6 - x^3 - 4x  b.)…

A: a) y=x8+2x6-x3-4xb) y=2x5+x-3x3c) f(x)=1-2x2

Q: Find the derivative of f(x) = 4x5 +3x + 3 f(a) = 4x + 6x + (a) = 20a + 6æ + a f (x) = 4x4 + 3x + ¤…

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