If Mx (t) = X X-t find E(X) E (x²) and var

Q: Find intervals where g(x) = 3x − x3 is increasing

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Q: The first derivative of f(x) = (5x – 6x)-3 will be.

A: Solution of first derivative

Q: Find df/ dx of  f(x)=(x2-1)(x3+3x2/x2+2)

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Q: f(x) = Ve

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Q: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: A. f(g(h(2))) B.…

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Q: 2х-9 F(x)% = %3D 4х

A: We have to find the definition of the derivative to find f(x). By the definition of the derivative,…

Q: Q3/ find the derivative D f(x) = x log5 @f(x) = (x+3) ² 2x+4 2 X

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Q: f(x) = x+ 4/x

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Q: Differentiate. f(x) %3Dx =x° +x' d dx (x)] =

A: ddxxn = n·xn-1

Q: find the fallowing Js(x)

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Q: 1 show that f (-2) = f(2). 4 If ƒ(x) = x" 4

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Q: Give the formula for f(n) (x) where f(x)= 1/(3x-1)

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Q: what is the derivative of f(x)= 12ex-121lnx

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Q: b\ Find the domain of the functions: (1) y = (2) y = = (3)f(x) =

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Q: Find derivative

A: Given:

Q: If t(x)=5(9^x), find t′(x).

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Q: what is the equation f(x)= a (x-h) + k with the appropriate shifts entered

A: Find the attachment

Q: Suppose that f (x) = 8x² – 2x + 5. Evaluate each of the following: f'(9) = f'(-11) =

A: Given,            fx=8x2-2x+5

Q: Find f. f"(x)  =20x 3    +12 x2    + 4  ,    f(0) =8,  f(1)  =5

A: Given, f''x=20x3+12x2+4f0=8, f1=5

Q: 7x +5 5x +1 Evaluate the derivative of y = In where x = 3.25.

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Q: The domain of f' is 1 (Type your answer in interval notation.)

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Q: 6(x − 1)²

A: We need to find the derivatives of the following expression   Where, fx=6x-17   Useful formula÷…

Q: - t+t² g(x) = √3x +z-t dt 1

A: g(x)=∫13xt+t22−tdtProperty of definite integral∫abf(x)dx=−∫baf(x)dx