Find (f*g)(2) for the following functions. f(x)=x^3+x^2 and g(x)=x^2-1

Q: Find the third derivative. f(x) = 6x9 – 8x6 f"(x) = %3D

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Q: Find the derivative.   g(x) = 4^x/x^4

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Q: Find derivative of f(x) = x^5-7x^3+8

A: We have to find derivative of  f(x) = x5 - 7x3 + 8 We know that  If f(x) = xn then  f'(x) = nxn-1…

Q: Find the derivative of the functions f(x)=(2x2-1)(x3+3)

A: We can make it easier for you.

Q: Find the derivative of f (x) = x3 - 10x2 + 8 .

A: Given : fx = x3-10x2+8

Q: Find the derivative of the function. f(x) = 5x3 - 7x² + x %3D

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Q: find the derivative  f(x)=x3(x2-1/x2+1)

A: Given:The function f(x) = x3 (x2 − 1)/ (x2 + 1)

Q: Calculate the derivative. f(x) = x 3/2(2x 4 - 3x + x - 1/2)

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Q: Find the derivative of the algebraic function. f(x) = (2x3 + 5x)(x − 3)(x + 2)

A: Given function is f(x) = (2x3 + 5x)(x − 3)(x + 2). Simplify the function.…

Q: Use the Second Derivative Test to find all relative extrema of the function f(x) = 2x - 6x +7.

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Q: Find the derivative. f(x) = 4/6x +7 f'(x) = %3D

A: As we know thatddxxm=ddxxm2=m2xm2-1

Q: Find the derivative of the funchion f(x)=9x-5

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Q: Calculate the derivative   f(x)=√(4+3x^2) / √(x^2+1)

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Q: Find the derivative. g(x) = (4x – 2)° – Vr + 8

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Q: Find the derivative using the limit process of f(x)=x² + 3x f(x)=x² +3x

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Q: F(x) = (x^3 - 8)(4x^2+2x)

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Q: Find the derivative of f(x) = (3x − 2x2)3

A: Given function: f(x)=3x-2x23

Q: find the derivative of f(x)= 4x^2+2x-3

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Q: Find the second derivative of the function. f(x) = 8x + 50x-2 f "(x) = %3D

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Q: Differentiate the following functions using Four-step Rule 1. f (x) = 4x – 5

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: Find the derivative of the function. f(x) = (x3 − 3x2 + 4)/x2

A: Given,          fx=x3-3x2+4x2

Q: Find the derivative of f(x) = ✔ (6x¹ + x² − 1) 5.

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Q: Find the derivative of the function. f(x) = (2x3 - 8x² + 3)4 %3D

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Q: Find the derivative and simplify. f(x) = (x12 + 4x4 + 5)(2x3 - 1) f'(x) = %3D

A: Given : fx = x12 + 4x4 + 52x3 - 1

Q: Find the derivative f(x)=2x^5(√2x^5+5x^4)

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Q: Use the definition of derivative to find f(x) = 2-x+2x^2

A: Given,          fx=2-x+2x2

Q: Find the derivative and simplify. f(x) = (x12 + 3x* + 5)(2x³ - 1) f'(x) = %3D

A: Some differentiation formulae: ddx(xn)=nxn-1ddx(c)=0  ; c is any consant value Given function is…

Q: Find the derivative of the algebraic function. f(x) = (x3 − x)(x2 + 2)(x2 + x − 1)

A: Given information: fx=x3-xx2+2x2+x-1

Q: Find the derivative using the definition for the function f(x) 4 +8x-5x2.

A: Limit defination of derivative f'(x)=limh→0f(x+h)-f(x)h

Q: Find the derivative of the algebraic function. f(x) = (4 − 3x − x2)/(x2 − 1)

A: We have to find the derivative of the algebraic function: fx=4-3x-x2x2-1 Rewriting the function,…

Q: Calculate the derivative. f(x) = (x³ + 2) (x³ + x + 9)

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Q: Find the derivative. f (x) 7.) f(x)==x³+2x²–11 x–1 +2x²-11 x-1 6.

A: We have given

Q: Find the derivative of f(x) = 2x3 + 12x² +18x + 9. f'(x) =

A: To Find : Derivative of f(x)=2x3+12x2+18x+9     Note that : Derivative of xn is nxn-1

Q: Find the derivative of the function f(x) = 9x-³ + x² + 14. f'(x) = %3D

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Q: find the derivative  f(x)= (x1/3-5)(x2/5-3x1/5+4x-1/3)

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Q: Find derivative of f(x) = x^4-7x^2+8

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Q: Find the derivative of the function using chain rule. f(x) = (4x5 – 2x*)10

A: We differentiate the given function by using chain rule, see attached file for a step by step…