find the first and second derivatives of the function f(x) = (x2 + 4)5

Q: Find the second derivative of the function. f(x) = 205√x

A: We use the power rule to find the first derivative

Q: Find the first and second derivatives of the function. f(x) = In(x + 4) f'(x) = f"(x) I3D

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Q: Find the derivative of the algebraic function.

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Q: derivative of the function f (x) = xsec-1 (2x + 1)

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Q: Find the 3rd derivative of the function y=f(x) given by the equation x2−y2=9.

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Q: Find the derivative of the function. 5 F(x) 1 + 4x + x3 F'(x) :

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Q: the first and second derivative of  y=x/x2-4

A: Formula used:  If f(x) and g(x) are two differentiable functions,

Q: Find the first and second derivatives of the function  f(x)  = x4  - 3 x3  +16 x

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Q: Find the derivative of the function. f(x) = 2- 5x-, - 6 f'(x) =

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Q: Find the derivative of the function: f(x)=e^-2x - e^2x

A: To find derivative of function.

Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Our Aim is to find the second derivative of…

Q: Find the derivative of the function. y In x2+9

A: Given function is: According to chain rule of derivatives:According to the quotient rule:

Q: Find the derivative of f(x) = e-2 / x^2

A: Consider the function fx=e-2x2 Here, the objective is to find the derivative of the function.

Q: Determine the second derivative of the implicit function  x2+2xy+3y2=2

A: Product rule of differentiation: ddxf(x)g(x)=f(x)ddxg(x)+g(x)ddxf(x) Power rule of differentiation:…

Q: Find the derivative of f (x) = 1x , x = 0.

A: Given: f(x)=x at x=0

Q: Find the second derivative of the function. 8. f(x) = 4x3/2 9. g(x) = x-1 10. h(x) = sinx

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the third derivative of the function f(x) = (1) / (2x-1)

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Q: =) f(x) = x²e¬4x

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Q: Find the second derivative of the function. f(x) = e-x3/3

A: Given:fx=e-x33Differentiation formula:ddxex=ex.1

Q: Find the derivative of the function. f(x) = (x2 + 3) In(x) f'(x)

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Q: Find the derivative of the function using the definition of derivative. 1 f(x) x² - 36

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Q: Can you help me step by step with this problem?

A: Let's assume u = 3 + xsecxPlease note that the second term is made up of two functions of x and they…

Q: Find the second derivative of f(x) = x+2 X- 2

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Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: given,        fx=1-2x4x+5

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 the function.

A: Given function is Differentiating both sides with respect to x, by using product rule of…

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

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Q: Find the second derivative of the function. In(x) f(x) 6x2 f"(x) =

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Q: 1, Find the first and the second derivative of f(x): f(x)=x

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Q: Find the derivative of the function f(x)= xsinx+x^2e^2-1.

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Q: Find the first and second derivatives of the function. f(x) = 10x10 + 7x7 - x f'(x) = f"(x) =

A: We can solve the problem by doing the derivative of the function.

Q: Find the first, second and third derivative of f(x) = 5x" – 2x* + 3x² + Vx.

A: Given,

Q: 1 3. f(x) = (-x4-3)2

A: Solve for the derivative

Q: 3 Determine the 3rd derivative of the function f(x) = 2√√x-x³

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Q: Calculate the derivative of the function y=(2−x3)(13+x2).

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Q: Find the derivative of the algebraic function.

A: Given algebraic function fx=3x-1x. Differentiating the given function with respect to x,…

Q: Find the derivative of the function using Chain Rule. Given f(x)=(x²+x-3)√√x²+x-3

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Q: Calculate the first derivatives of ƒ(x) = x2/(x2 + 1) and g(x) = -1/(x2 + 1). What can you conclude…

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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 second derivative of the function. . f(x) = 4x3/2 : 1. g(x) = %3D X-1 .. h(x) = secx

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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 of the function. 2 5x - x f(x) = x² - 4 f'(x) =

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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 derivative of the function: f(x)=ln  (x-3)^2÷(2x-1)^3

A: Given function is,

Q: Find the First and second derivative of the given y=-x2+3

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Q: Find the 2nd derivative of f(x) = √2x-x²

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Q: Find the derivative of the function g(x) 4+ 2x = (x),6

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