Find the derivative of the function. h(x) = x² arctan(8x) %3D

Q: Find the derivative of the function. 3x 9(x) = e+5.

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Q: 3.) y = log2 – 6·x³

A: Explanation: Given that,  y=log2(-6x3)

Q: Find the derivative. y = e(lnx)2

A: dydx=ddx e(lnx)2        =e(lnx)2 ddx2(ln x)         =e(lnx)2 2x

Q: Find the derivative of the function.

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

Q: Find the derivative. y= 5x e -x

A: Given :             y = 5x2e-x To Find :                  To find the derivative

Q: 33. G(x) = 4C/s

A: on doing differentiation with respect to  x we get

Q: Find the derivative of the function y = √(e2x + e−2x)

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Q: find the derivative of the given function y - x2-1     f'(2)

A: Given function is y=x2-1. To find the derivative of the function f'2. Solution: Power rule of…

Q: Find the derivative of the function. y = x2 csc x

A: The derivative of any function y=f(x) for the variable x is defined as the rate of change,for which…

Q: y = kx xe

A: y=xe-kxTo solve the derivative

Q: Determine the first derivative of the ff. function y = ln| le* – 1/

A: We have to find the first derivative of the function: y=lnexex-1 We know the property of logarithm,…

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: y = In- e 2x+1

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Q: Find the derivative of the function.

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Q: Find the derivative of the function.

A: We have a nested form of functions . We have to use chain rule of differentiation to find the…

Q: Find the derivative of the function

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

A: Given query is to find the fourth derivative.

Q: 30. Find the derivative of the function: y= xe™*

A: The given function is, y=x e-x The derivative of the product of the function u and v is given by:…

Q: 2) Let y = xe* and find the first derivative y'. Where is y'>0?What does this tell you about the…

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Q: Find the derivative of the function. y = (tan-1(8x))2

A: Function y=(tan-1(8x)2 To find the derivative of the given function.

Q: Find the second derivative of the function. 3root(x) + e^(6x)ln(x)

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Q: Find the derivative. y = e(ln x)2

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Q: find the derivative of y=√e^x +1

A: The given function is

Q: Find the first derivative of: x = t²e2t

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Q: Find the derivative of y with respect to the independent variable. x8)n 5) y =log 5 x-8

A: using the fact of logarithmic  logax=lnxln(a) find the derivative

Q: Find the derivative of the function. y = e-9/x

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Q: Find the derivative. f(x) = e. 3x

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Q: calculate the derivative. g(x) = e2

A: We know that the derivative of a constant is zero. This result is used to prove the given statement.

Q: Find the derivative of the function. y = e In(7x)

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Q: Find the derivative of the given function. y = - 9sin (5x4 - 6) dx ||

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Q: (A) Find derivative of y = In V4+ a2

A: Given that a function y (x) and we find derivative of this. We know that : d(lnx)/dx = 1/x . Here i…

Q: B) Find derivative of the following function d -6tanx dx

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Q: at x: つ:8ー5x, atx=e

A: Given:  F(x) = x3 - 5x ...(1)       and the…

Q: y = e* - cos 3x + xlog.(1+x)

A: By using some formula of derivative

Q: 2x+ln x

A: We know that power rule of derivatives is  d(xn)/dx = nxn-1.     Here i attached the solution of…

Q: Find the derivative of the function y = e5x

A: To find the derivative of the function y=e5x

Q: Find the first derivative of the given function. 1.) w=tan2x-csc 2x

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Q: B) Find derivative of the following function d dx 6tanz

A: A detailed solution is given below.

Q: 3x-4 1. Y= Arctan 4

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Q: Find the derivative of the function. G(x) = V1 - 9x² arccos(3x) G'(x) -

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Q: Find the derivative of the function g(æ) = (5æ² – 4x)e" - g'(x) =

A: →duvdx = udvdx + vdudx→dexdx = ex

Q: 2x Find the derivative of h(x) 2x + 3

A: Given:  Function  h(x)=-2x2x+32

Q: Find the derivative of the function. y = 4x e -2x – 4 e x5

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Q: B) Using the definition of derivative, find dx

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Q: Find the derivative of the function. G(x) = V1- 9x2 · arccos(3x) G'(x) =

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Q: Calculate the derivative. g(x) = e2

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Q: Find the derivative of the function. h(x) = ln(2x2 + 1)

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

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Q: Find the derivative of the function. f(x) = e-4x

A: The given function is:fx=e-4x

Q: Find the derivative of the function. - 12 y3= dx

A: Topic - derivatives