Integrate the following Functions: (2г — 1) da (x+2)* (x–1)4

Q: 1) Find the second derivative for the following functions: a) f(x) = 4x³ + 3x² + x – 14 b) f(x) =…

A: Solve derivative a fx=4x3+3x2+x-14b fx=4x-3+2x-4c fx=5ex-e3x

Q: Differentiate the following function. y= Vx+ 1 (4x + 1)2

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Q: Find the indicated derivative. 5x2 f'(x) for f(x) = %3D 9x - 4 f'(x) =|

A: We are solving the problem by The by parts rule of derivative.

Q: Find the following derivative of f (x) = 2x° – 4x4 + 6x. f(®) (z) =

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Q: 9. f(x) = /5x + 1 %3D

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Q: 2) Find the derivative of each function f(x) = Vx + 5x+6 %3D а) b) f (x) = 6x'(5x² +3x)10

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Q: (a) Integrate the following functions with respect to x: (i) 3x2 + 5x -7 (ii) x +

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Q: Find the second derivative of the function. Fx) = x In VR) + 9x f"(x) -

A: Answer and explanation is given below...

Q: dP dt т 1- kP 1- M

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Q: Find the second derivative of the function.

A: From the given data:

Q: Solve for the derivative of the following composite functions. f(g(x)) = (x+ 4)* 2 f(9(x)) = (2x2 +…

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Q: Find the derivative of the function. f(x) = V9 - 3x2 %D f'(x) %3D

A: The given function is f(x)=9-3x2

Q: Differentiate the following function. y = 4 ex+3x %3D xp

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Q: Evaluate the function f(x) = log,x at x = 27 without using a calculator. %3D

A: Given that

Q: Find the equation of the secant line for f(x) = log2 (3x² + 2x – 1) from x = 1 to x = 3.

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Q: Consider the following function. 5x, f(x) = XS1 %3D 5x2, x > 1 Find the derivative from the left at…

A: The derivative from the left side of  x=1 is…

Q: Find the derivative of f(x)=(80x)| 198 ·+14 1+7.66e0.34x

A: f(x)=(80x)1981+7.66e-0.84x+14

Q: 4. y = sech? In x

A: As per bartleby guidelines, for more than one question, only 1st one is to be answered. Please…

Q: 1. x² – 4y? = 5

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the linearizationsof the following functions at x = 0. ex

A: fx=ex at x=0. Now differentiating with respect to x, we get f/x=dexdx=ex Now, f0=e0=1 & f/0=e0=1

Q: 2. g'(x) where g(x)= x² +7x-5 %3D

A: ddxxn = n·xn - 1, and ddxC =0

Q: Differentiate the following function.   y = (ex + 1) / (x - 1)

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Q: Find the derivative of the following function. 5 +x² -7 2 y= 9x 2 + 10x y' =O %3D

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Q: Find the derivative of f( x ) = æ° log3 (x + 4.5). %3D f'(x) =

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Q: Compute the derivative of the given function. f(x)=−4x^π+4.1x^1.3+π^1.3

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Q: 2. Use the first and second derivatives to obtain sketches of the function below. 4x+2 f(x) = %3D…

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Q: 2. g'(x) where g(x)=x² +7x-5 %3D

A: In this question we need to find a derivative of the given function.

Q: Q1. Integrate the following functions with respect to x: y = 3x2 (1+x³)*

A: Explanation of the answer is as follows

Q: nd the derivative of the function. (6 – x)5/4' x4/5 y = In

A: We will find the derivative.

Q: Consider the following. f(x) = 5x2 + 4x – 18 (a) Find the derivative, by using the definition. f'(x)…

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Q: Use the product rule to find the derivative. f(x) = (3x - 2)(6x + 1) %3D O f(x) = 36x - 4.5 !3! O…

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Q: Find the derivative of the function. g(x) = In| 8x – 9 | a. 8x -9 Ob. Sx -9 O. none of these 1 Od. -…

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

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Q: 2. Find the derivative of each function a) f(x) = x³e/x et3+7 b) g(t) %3D t2 )듬x리 In(2x + 1) 8x+9 x3

A: According to our guidelines we can only answer 3 subparts of a question, rest you can repost

Q: Find F.s For PCx) = %3D

A: Fourier series for a function f(x) defined in c to c+2π is given by f(x)=a02+∑n=1∞ an cos(nx)+∑n=1∞…

Q: Find the second derivative of the function (r² + 1)(x² _ z +1) U =

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Q: Differentiate the following functions. eX+e=* y D .y= 2

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Q: Calculate L6 for f(x) = V6x + 2 over [1,3]. (Give your answer to three decimal places.) L6 2

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Q: Evaluate the derivative of the function: x2 f(x) = ( x²+1 8x (æ²+1)° O 8a(a² –1) (2²+1) O 1 4x…

A: Use the chain rule for finding the derivative

Q: Find the derivative of the function. f(x)=(x^3+9x+8)(7+1/x^2)

A: fx=x3+9x+87+1x2⇒fx=x3+9x+87+x-2

Q: f(x) = Vx2 + 5x-

A: We have given the function;

Q: Find the function whose derivative is Inx+1. A) xlnx B) x+xlnx x+1/x D) x+Inx

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Q: Differentiate the function ln(x2+y2)+2arctan y/x=0 implicitly.

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Q: Find the first and second derivatives of the function. 14. f(x)= x to the 7/2+x to the 5/3-x to the…

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Q: 3 1. 15. f(x) = 4 *+ %3D 4

A: Given,f(x)=14x+34

Q: Find the derivative of the function. g(x) = [*- 1 -dt -5 2+4 10 а. 841 b. 2x (x²+ 4)² 1 С. x²+4

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Q: - Integrate the following function: -3 2x+3 dx y = Jo x²+3x-5

A: The given integral is: y=∫032x+3x2+3x-5dx To evaluate this integral, consider x2+3x-5=t   .....(1)…

Q: Differentiate the following function. x +6 y= (4x + 4)2 d. x+6 dx L (4x + 4)2 II

A: Solve

Q: Find the line tangent to the function at the indicated point: f(x) = v8x² – 4x ;x = 1 ОУ-12х-10 o…

A: Since there are multiple questions present and you have not specified which question to answer,…

Q: Differentiate the following functions: 4. y = In (sec 2x + tan 2x)

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