The first derivative of y = tan-1 /2x

Q: Find the 24th derivative of y = -sinx

A: Topic = Derivative    The 24th derivative isy24 =-sinx

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

A: Derivative

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

A:

Q: 2. y = (cosx)(sin5x)

A: We will use product rule of differentiation to find the first derivative of this function. We will…

Q: Find the derivative of the function. y = tan an-¹ (√x-4)

A: We can find the derivative using chain rule as below.

Q: Find the second derivative of y=(tan(2pix))^3

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Q: Find the derivative.

A:

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

A:

Q: 3x-x Tan 1-3x? х-х

A:

Q: Find the derivative of the function. y = sin(tan 7x)

A: To solve this type of questions we use chain rule. df(g(x)) dx= f'(g(x)) g'(x)in given ques. f(x)…

Q: Find the first derivative y = (cosx)(sin5x)

A: Answer and explanation is given below

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 derivative of the function

A: We use the chain rule

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

A: Given : y = sintan3x

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

A: To find derivative of cosine function

Q: Find the derivatives of the functions defined as . . y = -9 sin5 x

A: We have to find the derivatives of the function: y=-9 sin5 x We know the formula of differentiation,…

Q: Find the derivative of the function. y- tan-(V-8

A: In this question, we need to calculate the derivative of the given function.

Q: Find the derivative of the function 3 tan (x- 2 1 x y

A: Given:

Q: Find the derivative of cos-¹(sin x)

A:

Q: y = sec (2 – 3x)

A:

Q: Find the derivative.

A: Given     y=sin-1xcos-1xdydx=cos-1x ddx sin-1x-sin-1x ddx cos-1x ( cos-1x  )2       =cos-1x 11-x2…

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

A:

Q: Find the first derivative of the function:  y=x² arcsin x

A: We have to find the first derivative of the function: y=x2 sin-1 x Here two function are in product…

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

A: y=tan-1x2

Q: Find the derivative of y = (tan-1 x)1/2

A: We have to find derivative

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

A: derivative

Q: Find the derivative. y = ln(x + tan-1 x)

A:

Q: Find the derivative of the function. y = -4 sin 7x

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Q: The second derivative of the function is y = arctan 2x

A:

Q: The nth derivative of y = sinx cosx

A: We know that,  2sinxcosx=sin2x Therefore, y=sinxcosxy=122sinxcosxy=12sin2x              ⋯⋯1…

Q: find the derivative. y = (tan −1 x)3

A: Use power rule and chain rule.

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

A:

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

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Q: y = In(sin x)

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Q: Find the derivative of y with respect to x. y = In (tan -1 (9x5))

A: Given : y=lntan-19x5

Q: find the first derivative of the function. F(x)= (1+sin2x/1-sin2x)^3

A:

Q: Find the 50th derivative of y = cos(3x)

A: Zeroth derivative y = cos(3x)First derivativey' = -3sin(3x)Second derivativey''=-9cos(3x)

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

A:

Q: y = csc-1 VE

A: We can find the derivative as below

Q: Find the first derivative of 1 2 y -sin?

A: Explained below

Q: Find the 42nd derivative of the function y=sin(x).

A:

Q: Find the derivative of: ln(sin-1x)

A: We need to find the derivative of ln(sin-1x).

Q: Calculate the derivative. y = cosh(x³)

A: We have to find the derivative of hyperbolic function.

Q: find the derivative of y=sin2(3x).

A:

Q: Find the derivative of y with respect to x. 58)y tan (In 2x)

A: Firstly, we use the result that  derivative of inverse of tan of x is 1/1+x^2

Q: Find the derivative y = In(tan )

A: The derivative of the given function can be found by the Chain rule as explained in the steps below.…

Q: Find the derivative of the function. y = cos sin(tan(9x))

A: The function is given by y = cossintan9x

Q: The second derivative of the given function is - 5 sin (2 - 5x)

A: