Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) 3x2 - 6x + 4 f(x) = x > 0 x2 F(x) =

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A: Use the concept of derivative of the form y = v/u

Q: II. Find the derivative of the following functions. 2. f(x) = -V5x* + 3x³ + 6x -9

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Q: 1. Is the function F(x) = {r³ - 3x2 +4x-2 an antiderivative of the function f(x) =x?-6x+4? Use the…

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Q: Using the definition of derivative, find functions: a) y = xVx -2 .2 (b) y =- (x-1)

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Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

A: Answer

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A: f(x)=78+45x2-89x3

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Q: What is the first derivative with respect to x of f(x) = (x² – 4) (3x – 2)? a. (2x)(3) b. 6х (x + 2)…

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Q: Find the derivative of the given function. y = In (- 25x² + 3x) y' =D %3D (Турe an exact answer.)

A: Solving by derivative rule

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Find the derivative of the function f(x) = 4v3x² – x. 12х - 2 A. V3x2-1 6х - 2 бх — 1 C. V3x2 –1 E.…

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Q: Given the function f (x) =4V.X. The derivative of the function f (x) is f (x) = A. D. 4VT В. E. 8VF…

A: To find The derivative of f(x)

Q: (a) f(x) = 2x7 – 3x4 – 41x? – 73 (b) f(x) = x cos x

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Q: Find the first derivative of the function g(x) = V5 +x +4cos (2x).

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Q: 2x 4. Find the derivative of g(x) : %3D x4+vx Completely simplify your answer as a single fraction.

A: using formula  ddx(xn) =nxn-1

Q: Find the requested value of the second derivative of the function. 3 f(x) = x* + 4x° - 4x + 4; Find…

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Q: If f(x) = 6x²e*, then what is the derivative of f(x) with respect to x? 6xex O 12xe* О бхе"(x + 1) O…

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Q: *(x) = x² +x – 7 , find f'(a) at a = -2 by using the definition of derivative.

A: To find the f'(a) using definition of derivative

Q: a) Find the derivative of g(x) = 3tanx – 4cotx. %3D b) What is the value of g 3.

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Q: 1. Find the derivative of each function a. f(x) = -3x* + 2x² + 5 b. f(x) = 2Vx - 3 %3D c. f(x) =…

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Q: Find the second derivative of the function. f(x) = (3 + 2x)e−3x

A: Given:The given function is f(x)=(3+2x)e-3xTo find:The second derivative of function f(x)

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A: Given:   To determine: The antiderivative of f(x)

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Q: e Find the derivative of the function g(x) = 2+ 3x g'(x) =

A: See solution below

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A: antiderivative means we have to integrate the given function with respect to x:-

Q: A) Find the first and second derivatives of the function g(x) = Vx² + 2x .

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

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

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Q: Find the first three derivatives of the function h(x) = 3 + 4x³ −3+7

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Q: Find the derivative of the function. g(x) = (1 + 4x)8(3 + x – x²)º g'(x) = %D

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Q: Find the derivative of the function. (Factor your answer completely.) f(x) = (7 – e-2x)8 f'(x) = %3!

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: 1. Use the Power Rule and properties of derivatives to find the derivative of each function a) f(x)…

A: Here we have to find the derivative by using power rule and the properties of the derivative.

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A: We have to find general antiderivative of the function and we have to check the answer by…

Q: Find the derivative of the function. e7x - e-7x y = 7x -7x + e

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Q: 2x Find the derivative of h(x) 2x + 3

A: Given:  Function  h(x)=-2x2x+32

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Q: find an antiderivative for each function. Do as manyas you can mentally. Check your answers by…

A: Given  To find Antiderivative for x2+2x

Q: a.) Given f(x) = 2x + 4, what is the value of f'(1)? b.) What is the derivative of f(x) = 4x + 5?

A: a) f(x)=2x+4b) f(x)=4x+5

Q: 1 f(x) = 4x3 which of the following is an anti-derivative of f(x)? 3 4x4 1 x4 x2 16x4 8x2

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Q: Find the derivative of the function. g(x) = e2a-5z+3 (6x? - 5) e2³–5x+3 O 23-5x+3 e622 -5 (2x - 5x…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Find the most general antiderivative of the function.(Check your answer by differentiation.)

A: Then

Q: Find the derivative of the function g(x)=(5x^2+2x−1)e^x g'(x)=____

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Q: how can i derive these, and have the asnwer with positive exponents only

A: Solving the 1st problem: Given:

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A: The given function is  f(x) = 3x2 - 6x +9

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A: Antiderivative of f(x) is given by

Q: Find the second derivative of the function. 2- 2x2 + x6 y = x9 elect one: A. d2y 180 12 dx2 x11 B.…

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Q: Find the derivative of the function g(x) = (4x2 + 2x – 3)e

A: g(x)=(4x2+2x-3)ex

Q: Find the derivative of f(x) = 7. A. 7 B. 0 What is the derivative of In(x)? A. xin(x) B. 1/x C. 7x…

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…