|f[*„ƒ(x) dx = 1. [*²ƒ(x) dx - = 2. [*19(x) + 2] dx = = -5, 5. [ƒ(2) dx = 12, and [9(2) dz = 8, find the following integrals.

Q: If f(x) = 6(a-3/+7), find f'(2). Find f'(5).

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Q: Please help me. *If y = √u+1 and U = 5x+1, then dy/dx is

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Q: Differentiate the function. y = ex +4+3 y' = et+4+3 X

A: The Sum/Difference Rule:The Power Rule:The Chain Rule:And use the common deriavtive:

Q: Find both the derivative and indefinite integral of ƒ(x) = 4 cosh 2x.

A: Here given as ƒ(x) = 4 cosh 2x. Thus

Q: Solve for the 2"nd derivative of the function f (x) = 3x5 – 4x3 + 7x² – 10. a. 15x* – 12x2 + 14x b.…

A: Given: fx=3x5-4x3+7x2-10 To Find: 2nd derivative of the given function

Q: Find all possible functions with the given derivative. y' = 2x² - 6x 2 O A. 3x³ + C 2 O B. 3x³-3x² +…

A: Given,             y' = 2x2 - 6x

Q: dy + ydx = 3x²y?dx, %3D

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Q: 1. D, (x') 2. D, (5x) 3. D. (x-2x)

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Q: d Verify tanh - = X 1- x2 dx

A: Inverse hyperbolic tangent function can be expressed in logarithm funtion. Write tanh-1x=12ln1+x1-x…

Q: 7 (2+ x³)' Vx² – 1 (x2 + x + 1)* 3 d B : dx - 4

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Q: Now, differentiate the function y' = 4x(1 + 2 In). y" = 4 + 8 + In + 8 In

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Q: For each of the following y, find the d^2y/dx^2

A: We know, d/dx (xn)= nxn-1, for any real number n. d/dx(u(x)v(x))= v(x)*d/dx(u(x))+u(x)*d/dx(v(x))

Q: If f(x)= ∫ (top 16, bottom 9) (-x^(-1/2)+5) dx. Enter your answer as an exact fraction of necessary.

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Q: Determine the particular solution of the ODE y” + lnx = -1 a. (-0.5 * lnx) + 0.25x b. (0.5x^2 * lnx)…

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Q: A company finds that the revenue R generated by spending x dollars on advertising is given by R =…

A: To find: The value of dRdx at x=1500. Given: The revenue generated function is R=1000+80x-0.02x2.…

Q: For y=f(x)=3x^3 , x=3 , and (triangle)x = 0.03 find dy (two decimal places)

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Q: S2(x* +1)e** dx . -5x t³ -9 -dt . 2t +3

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Q: Find -2 (2x5+ 3x¹) dx

A: Given that a integration and we solve this integration by using general property of integral.

Q: find d/dx f^-1 (4) where f(x)=4+2x^3+sin((pi*x)/2) for -1

A: We have,.We have to find .

Q: 1. x'-11/x +2 dx

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Q: Y = √²n²√x+1

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 6. D, (Inx) 7. D, (3x + 4x5) 8. D, (40x) 9. D, (E) 10. D.

A: Find your answer below

Q: = -x7/6. Compute the quantity f'(1). Let f(x) = -x7/6 ƒ'(1) = Number

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Q: Q6/Find the derivative (df/dx) f(x) =+5 e* %3D -4 x-7/3 + 5e* x-7/3 + 5e* O 1, O 2 Fr73 + 6e"

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