Determine the 8th derivative of y with respect to x of the function : f(x) = 1 / 1 + x2 and find the value of the 8th derivative when x is equal to zero.

Q: Find the second derivative for the functions defined as follows.h(x) = x/ex

A: Given:             f(x)=xex

Q: Find the derivative of the function. f(x) = ln(5+e^x/5-e^x)

A: Use derivative formula :- f(x) = lnx then derivative f'(x) =1/x

Q: Find the first derivative of y with respect to x (y') of the given function using rules for…

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Q: Find the derivative of the function.

A: We are given with the function g(x) and need to find the derivatives

Q: B. By using the definition of the derivative, find the for: - dx f(x) = x -

A: Explanation of the answer is as follows

Q: Find the derivative of the function.

A: We know that, logbx=y if and only if, x=by. Also, logbxn=nlogx

Q: Find the derivative of the function f(x) = e(z²-3z).

A: The given exponential function has one independent variable which is x.

Q: Find the derivative of the function. (x) = e+2 + 3 f'(x) : II

A:

Q: Find the derivative. y = cos-1(x2)

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: Find the first order derivative with respect to y of the function u = log(x + x² – y2)

A: Using derivatives.

Q: Find the derivative of the function. g(x) = e¯x + 3e2x – 1e-x + 17

A: Use the property for the exponents to simplify the function g(x).

Q: Find the derivative of the function. f(x) = 4 tan -1 (e 11x) f'(x) = D

A:

Q: Find the fourth derivative of the given function. y = sinx

A: Given query is to find the fourth derivative.

Q: Find the derivative of the function y = ln(9 – e-ª).

A:

Q: Find the derivative of the function f(x) = ln(e" + 5).

A: We have to find the derivative of the function -          f(x)=ln(ex+5) Here , we will use the…

Q: Find the derivative y = (2x – a) (x² + e-")

A: We havey= (2x-x3)(x2 + e-x)

Q: Find the second derivative of the function f(x) = x sin(x) + cos(x)

A: The given function is fx=xsinx+cosx.  The product rule of the derivative is :…

Q: Find the indicated derivative of the function. for y = -4 cos X dx4

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Q: Find the second derivative of the function y=x√1−x2.

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Q: What is the second derivative of f (x) = e²?

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Q: Find the derivative of the function.

A: Given: f(x)=log2x2x-1

Q: Compute the derivative of the function y=x2/ln x at x=e.

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Q: Find the derivative of the function

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Q: Find the derivative of f(x)=e^(sin x)

A: Given:            fx=esinx   differentiating on both sides with respect to x.           f'x=ddxesinx…

Q: Determine the first derivative of the ff. function y = Vxe2* cos x

A: Derivative of a function gives the tangent of the curve at a given point. Derivatives are used to…

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). h(x)=…

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Q: Determine the 3rd derivative of the function y=x3/x+2 at x=−1.

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Q: find the derivative of the function.

A: h(x)=xcosx

Q: Find the derivative of the function.

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Q: (d) y = xnz²

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Q: Find the derivative of the function. y= log 4- x

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Q: Find the derivative of the function. y = cos(a + x*) У (x) %3

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Q: 5. y³ = 4(y + x²)

A:

Q: Find the second derivative of the function f(x) = sin x2

A: Given f(x) = sin x2 To find d2f(x)dx2

Q: Find the 10th-order derivative of the function y=(x2+4x+1)√ex at the point x=0.

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Q: Find the derivative of the inverse function at x=1 for the function y=sin(x−1)+x2.

A:

Q: y = (cos(x²))*

A: We can find the derivative of the given function by using the logarithmic differentiation. Also,…

Q: The third derivative of the function y = e2a with respect to x is

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Find the derivative of the function. f(x) = 2 tan (e11x) f'(x)=D

A: We have to use Chain rule of differentiation.

Q: Find the second derivative of the function. f(x) = x x sin(x) %3D f "(x) - !!

A: Given:   fx=x sinx  To find: f"x=?

Q: Find the derivative of the function. h(x) = ∣x∣ cos x

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Q: Find the derivative of the function. f(x) = ln x/(x2 + 1)

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Q: Find the derivative of the function f(x)=(x²+e* + sin x)*.

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Q: Give the derivative formula for the function. (x)2 In x -e j'(x)

A: Consider the given function.

Q: What is the second derivative of * f(x) = e²?

A: We have to find second derivative of the function: fx=ex2 We know the formula of derivatives,…

Q: find the derivative of the function  F(x)= e^x/e^x + 8

A:

Q: Find the derivative of the function. h(x) = log,(x2 + x) h'(x)

A: Differentiation

Q: Find the derivative of the function f(x) = 3 ln(x) + e5ª. df = dx

A:

Q: Find the derivative of the function f(x) below. f(x)=ln(5−e^(−4x)) f′(x)=

A: Explanation: Given that, f(x)=ln(5-e-4x) Differentiate both sides with respect to x.…