Find the derivative of the function. y = In(x?)

Q: Find the 4th-order derivative of the function y=xsinhx.

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Q: Find the derivative of the function ?

A: To find the derivative of a given function

Q: Find the derivative of the function. y = ln(2 − e5x)

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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 ?

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

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

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Q: 3. Find derivative of the function y = x tan-(4x)

A: we have to find the derivative of y

Q: Find the derivative of the function. y%3=

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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 fourth derivative of the given function. y = sinx

A: Given query is to find the fourth derivative.

Q: Find the derivative of the cosine function y=cosx.

A: To find derivative of cosine function

Q: Find the derivative of the following: y=−x2⋅sinx

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

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Q: Find the derivatives of the functions y = ln (sec2 θ)

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Q: Find the derivative of the function.

A: Given y=lnx+1x-1

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

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Q: y = (cosx)ln*x|

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Q: 10. Determine the derivative of the function with respect to x. y = sin?(x)

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Q: Find the derivative of the function. y = sin-(cos-(t))

A: Given: y=sin-1cos-1t To determine: The derivative of the given function.

Q: Find the derivative of the function y=x2sinx.

A: Given: y=x2 sin x To determine: Derivative of the given function.

Q: 8. Find the derivative of the function. y= In(1+x)

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Q: Find the derivative of y with respect to the independent variable. y= 5 Vi

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Q: Find the derivative of the function.

A: Some important derivative formulas: 1. d(lnx)/dx = 1/x 2. d(√x)/dx = 1/(2√x) 3. d[N/D]/dx = [D*(N)'…

Q: 3. Find the derivative of y = csc" (sec x), 0<x< 2n.

A: Given ddx(arccsc(sec(x))Let sec(x)=uWe know that ddx(cosec-1…

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

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Q: Find the derivative of the function. "1(* - VI + x) y = 9 tan

A: derivative

Q: Find the derivative of the function y = e2x tan 2x

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Q: Find the derivative of the function:  y= x sin 3/x

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

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Q: 2. Find the derivative of the function. y = e* In (sinæ)

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Q: Find the derivative of the function. f(x) = ln 2x/(x + 3)

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Q: Find the derivative of the function. f(x) = ex - xe

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

A: Consider the following equation: y=exlnx Differentiate y with respect to x: dydx=ddxexlnx Apply the…

Q: Find the derivative of the following Function () y sin(x²) = x sin(y?)

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Q: Find the derivative of the function. y = (tan-(4x))2 y' =

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Q: Find the derivative of the function y=excosx.

A: we have to find the derivative of the function y=excosx.

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

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Q: Find the derivative of the sine function y=sinx.

A: We have to find derivative of sine function: y=sin x Finding derivative by first principle of…

Q: Find the derivative of the function. y = sin-1(4x + 1) У'%3

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Q: 3. Find the second derivative using implicit differentiation x² + y? = 4

A: Given that x2+y2=4To find implicit differentiation

Q: Find the derivative of the function. y = etan(8) y' =

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Q: Find the derivative of the function. 9 y =- Vx + 1

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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 = e* In x

A: Find the derivative use product rule

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

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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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Q: Find the derivative of the function. y = tan VX- X- 3 y' =

A: Given function is: y=tan-1x-3