Let f(x) = 6x +3 f-(z) =

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: Calculate the derivative.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the derivative of f (x) = x2 + 2x + 2.

A: The given function is, fx=x2+2x+2 To find the derivative of the function, we use the power rule of…

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: ii.) Find the derivative of f(x) = x°(2x* + 5x³ – 3)5 when x = 2. %3D

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Q: Find the derivative of f (x) = (5 – 3x)2. %3D

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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: Use the Chain Rule to find the derivative. f(x) = (x5 – x3 – 1)2/5 %3D

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Q: How do you find the derivative of f(x)= -2(3x^2-1)^3

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

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Q: Find the derivative of the function. 4 2x - x2 f(x) = %3D x2 - 6 f'(x) =

A: given,        fx=-x2-2x+4x2-6

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

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

Q: Find the derivative. 2 f(x) = 4√√8x² +9 f'(x) =

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

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Q: Find the first and second derivatives of f(x). f(x) = 3x – 4x + 2 f'(x) = 2 9x – 4 f''(x)

A: Recall: dxndx =nxn-1.

Q: Find the anti-derivative F(x) of the function f(x) = 2x - 7 with F(2)=55- %3D

A: We have to find the anti derivative of the given function following the given condition. anti…

Q: f(x) = (x + 2)(2x² – 3) %3D

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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: f(x)=5e^−2x^3+8x^8 f'(x)=

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Q: Use the second derivative test to find the local exterma of the function f(x) =x3+12x2-5 on R

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Q: f(x) = (x2 + x) (x* - 6x)3 %3D

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Q: Test f(x) = (x3/3) +2x2-5x+1 for relative extrema, using the second-derivative test where possible.

A: For a given function,f(x), at relative extrema x=a, f'(a)=0.The second derivative test is applied to…

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

A: We have given

Q: 3) Find the derivative of f (x) = Vx3 – 4x²

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Q: Find the derivative of f(x) = V3.x2 + 7x

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Q: The derivative of f(x) = x4 + 4e2x is-

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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 first and second derivatives of f(x). f(x) = – 3x³ – 7x + 2 f' (x) = f''(x) =

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Q: Find the higher-order derivative    1. f ''(x)=16x^(3)-38x^(2)

A: Derivative

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

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Q: Find Derivative f'(x): f(x)= 5e²x - 40e(-0.1x) + 11 + In(4x)

A: Given f(x) = 5e2x - 40e(-0.1x) + 11 + ln(4x)

Q: Find the local extremes of f (x) = x³ +2x+ using the first derivative test.

A: Given,         The local extremes of fx=x3+34x4 using the first derivative test.

Q: ***** Find the derivative of the function. Express the 2+3 f(x) 4- x2

A: The function is in the form of u/v. Kindly follow the attached imaged.

Q: Find the derivative of f(x) f(x)= (2x+1)^3(x^2+x)^2

A: