Find the derivative of the function. f(x) = (2x−8)4(x2 + x + 1)5

Q: (3x – 4)8 Find the derivative of 9(x) = (4x² + 3)

A: Quotient rule of differentiation:

Q: f(x) = 7.5x2 - x + 4.7 (a) Find the derivative of the function using the definition of derivative.…

A: The given function is f(x)=7.5x2-x+4.7A) Here Differentiate above function w.r.t.x…

Q: 3-2x2 Find the derivative of y =- and simplify your answer. 5x +2

A: Given: y=3-2x25x2+2  To find: Derivative of the given function.

Q: Find the derivative of the function. g(x) =  3 x6  +  2 x3  + 6 3   x   g'(x) =

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Q: f(x) = 4x³ - 12x² + 36x 12. What is the value of the 2nd derivative of the

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Q: Find the derivative of the function.  h(x) = − 1 / 5x0.5

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Q: Find the derivative of the function. y = 6x2(4x2 − 8)

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Q: Find the derivative of the function. f(x) = (2x3 − 8x2 + 7)6

A: Given,           The function is fx=2x3-8x2+76.

Q: Find the derivative of the function. f(x) = (2x3 − 5x − 9)2

A: Given:   f(x) = (2x3 − 5x − 9)2

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: Find the derivative. h(x)=2x^3−5x^2 / x+2 You must show

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Q: 3x - 7x- 4 Find the derivative of y= .2

A: The objective of the question is derivative the given function.

Q: function D = x* - 18x + 12 a derivative of ) = 4x – 36x = 4x(x? – 9) - 9) |

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Q: 3x +2x-4 derivative of the function of ƒ(x)= %3D 7x² -9x+2

A: f'(x) = (- 41x² + 68x - 32)/(7x² - 9x + 2)²  The detailed solution is as follows below:

Q: Find the derivative of the function. y = 11x5 − 6x3 + 2x − 9

A: The given function is  y = 11x5 − 6x3 + 2x − 9

Q: Find the derivative of the function. y = 7x3 − x2 + 5x − 7

A: In this question we have to find the derivative of the function. we know, ddxxn=nxn-1

Q: 3-2x Find the derivative of y = 3+2x

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Q: f(x)=(8x-1)(x2+4x+7)(x3-5) find the derivatives

A: fx=8x-1x2+4x+7x3-5 On simplification, we get…

Q: Use the General Power Rule to find the derivative of the function. y = 12 3 4x2 + 7 y' =

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Q: Q.2. Find the Derivative 5 g(x)=12x4 -6/x+ a) g(x)=(x² – 5)(x³ +3) h)

A: Q.2 Find the derivative.a) gx=12x4-6x+5xb) gx=x2-5x3+3 Formulae to be used…

Q: A1) Using the definition of derivative, find the derivative of f(x) = x² + 6x + 6. [ 1

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Q: Using the definition of derivative, find the derivative of f(x)=x^2+3

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Q: f(x)=2x2−16x+35 , the derivative of the following function using the definition of the derivative.

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Q: Find the derivative of the function. y = 8x3e−x

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Q: (3x+5) x* ² + 7 Find the derivative of v(x) = In x- 25

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Q: Find the derivative of the function Y=5x^2-8x-8x^-2

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Q: Find the derivative of the function. h(x) =  5/ x2 +  3/ x3   h '(x)  =

A: The objective is to find the derivative of the function: hx=5x2+3x3

Q: Find the first and second derivatives of the function. (Simplify your answer completely.) g(x) =…

A: Let's find.

Q: Find the derivative of the function. y = 5e4x2

A: I have Provided this answer in step-2.

Q: Determine the derivative of the function g(x) = 3x + 4 / 74x. Do not simplify your answer.

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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: Find the derivative of C(x)=(2x3)/(3x4+2

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Q: Find the derivative of the function. g(x) =  3 x5 +  2 x3 + 6 3   x  g'(x) =

A: Given query is to find the derivative of g(x).

Q: Find the derivative of the function. y = 9x5 − 4x3 + 3x − 10 y' =

A: The solution are next step

Q: x2 -4 b) By use derivative sketch the function f(x) %3D 2x

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Q: Use the Chain Rule to find the derivative of the function. y = (4x2 − 5)3 y' =

A: Solved below

Q: +7V + - 5x + 6. Find the derivative of y = 9 - 5х + 6.

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Q: x3 - 2/x + 1 Using quotient rule, which of the following derivatives is true for the function y = 2r…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 8x Find the numerator of the derivative of the algebraic function x5+3 -8 (3 + 5x^5) -8(3 + 6x^5) 8…

A: The given algebraic function is fx=8xx5+3. Calculate the numerator of the derivative of the given…

Q: Calculate the derivative of the function. g(x) = (x2 − 5x − 1)−9

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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: Fx 4x2cos x find the derivative of fx

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Q: Q-3: Use the definition of the derivative to find the derivative of g(x) = x³ – 2x2 +x – 1.

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Find the first and second derivatives of the function. g(x) = −7x3 + 21x2 + 5x − 64

A: Given function gx=-7x3+21x2+5x-64

Q: 3x2 – x +1 - Find the derivative f'(x) by hand when f(x) %3D 2x + 7

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Q: 2)f(x)=(3x^(2)+8x+3)^-5 Find the derivative of the function

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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

Q: Find the derivative of the function using the definition of a derivative. State the domain of the…

A: Plug f(x) and f(x+h) in the definition of derivative.Express them as difference of cubesApply…