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

Q: Find the derivative of the function.   f(x) = x5 ln(x)   f'(x)=

A: We have to find the derivative of function: fx=x5lnx Here there are two function in multiplication…

Q: find the derivative of the function  f(x) = e5x sec x

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Q: Find the derivative of the function. f(x) = ln 3x

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Q: Find the derivative of y=ln^3(tan^-1x)

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Q: Find the derivative of the function f(x) = x√ln x

A: Here given Use the formula of product rule of derivatives as

Q: calculate the derivative with respect to x. ln(x2 + y2) = x + 4

A: Given function lnx2+y2=x+4 Differentiate the above function w.r.t 'x' ddxlnx2+y2=ddxx+4…

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

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

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

A: We use the product rule to find the derivative

Q: Find the derivative of the function. y = sin-(6x + 1) y' =

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Q: Find the derivative of the function y = sin '(- (5x + 4)).

A: Given query is to find the derivative of the expression.

Q: Find the derivative of the function. y = ln(ln x)

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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: Find the 3rd derivative of the function y=excosx.

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Q: Find the derivative of the function. y = e-2x sin x

A: The derivative of the product of two functions f(x) and g(x) can be determined using the product…

Q: Find the derivative of the function. y = sin-(9x + 1)

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Q: Find the derivative of the function. h(x) = x2 arctan(5x)

A: Given function: hx=x2tan-15x Differentiate the above function w.r.t "X" h'x=ddxx2tan-15x

Q: Find the derivative of the function. y = (ln x)4

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

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Q: Find the derivative of the function. y = ln√(x2 − 4)

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Q: Find the derivative of the function. y = 2 cos5 x

A: Given, y = 2 cos5 x To evaluate, dydx

Q: Find the derivative of the cosecant function y=cscx.

A: Given: y=cosecx we know that cosecθ=1sinθ similarly, y=cosecx=1sinx

Q: Find the derivative of function. y = ln(5x3 - 2x)3/2

A: To find: The derivative of y=ln5x3-2x32. Formula used: Logarithmic power rule: ln ab=b·ln a Chain…

Q: Find the derivative of y = sin(-* e-X 2ex + 1

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Q: find the derivative for  h(x) = 3e ^ -x * ln(2x+1)

A: Using product rule of derivative In order to solve the given problem.

Q: Find the first derivative of = (ln x)* 4 y

A: From the given function; y=lnx4 We know that; The Power law: ddxxn=nxn-1 The chain rule:…

Q: Find the derivative of the function y = ln 4x / (x − 6)

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Q: Find the derivative of function. y = (3x + 7) ln(2x - 1)

A: To find the derivative of the function: y=3x+7 ln2x-1 Solution: Product rule of differentiation…

Q: Find the derivative of the function.

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

A: Given data:   The given expression of the given function is: .   Substitute u for csc x in the given…

Q: Find the derivative of the function.

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Q: Find the derivative of the function. y = tan−1 (square root of x - 4)

A: Consider the given function. y=tan-1x-4 The objective of the problem is to find the derivative of…

Q: Find the derivative of the function. f(x) = ln(x − 1)

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

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Q: Find the derivative of the following function. X- y = 3 sin x -3 dx X- sin x =

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Q: Find the derivative   Y=ln(4+X^2 )

A: The given function is,

Q: Find the derivative of the function. y = ln(x√x2 − 1 )

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Q: Calculate the derivative of y = e1+sinx.

A: Given, y = e1+sinx.

Q: What is the derivative of the function  x^8(ln(x)), and what can I substitute for x to make the…

A: We have to find derivative dy/dx and point where dy/dx =0y is given below:

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

A: Formula:

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

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Q: Find the derivative of the function g(x) = ln √2x

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Q: Find the derivative of y with respect to x    y=ln(x-7)

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Q: Find the derivative of the function. g(x) = 2(3- Ex)

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Q: Find the 3rd derivative of the function y=exx.

A: Differentiating with respect to x, we get Again differentiating with respect to x, we get

Q: Find the derivative of the function. y [x + (x + sin²(x))-1*

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Q: Find the derivative of the function. X +8x + 3 y3D VX

A: Here we use the quotient rule of differentiation ddxuv =vdudx-udvdxv2

Q: Find the derivative of the power function y=xn.

A: y= xn To find the derivative of y

Q: Find the derivative of the function y = 1/ln(1 − 7x)

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Q: Find the derivative of the function y = ln 5x/(1 − x)

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