Find the derivative of 1. y= tan (x* + 3x³)

Q: h(x)=(x° +1} (2x+5)*

A: Given : hx = x2+132x+52

Q: Find the derivative of y = 6e x – cosx.

A: Given function, y=6ex-cosx Used formulas, ddxcfx=cddxfx  c=constantddxex=exddxcosx=-sinx

Q: Find the derivative of the function. y = (tan-(3x))2 y' =

A: Solution: The objective is to find the derivative of the given function

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

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Q: Find the derivative of the function y = 2x sinh−1(2x) − √(1 + 4x2)

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

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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 of y with respect to x 3tan-1x + sin-1x = 4

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Q: Find the derivative of the function

A:

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

A: Given : y = sintan3x

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 derivatives of the functions y = ln (sec2 θ)

A:

Q: Find the derivative of y with respect to x. y = sec -1 (3x2 + 1), X>0

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

A: Given:

Q: Find the nth order derivative of the function y=sin2x.

A:

Q: Find the derivative of 3 In xy + sin y = x².

A:

Q: Find the derivative of y=sinh-17x

A: Given:y=sinh-17xHyperbolic Identity:cosh2x-sinh2x=1Differntiation formula:ddxsinx=cosx

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 y with respect to the appropriatevariable. y = cos-1 (x2)

A: Given function is y=cos-1x2. Chain rule of differentiation states that: ddxfgx=f'gx·g'x…

Q: Find the derivative of the function. y = sin-(2x + 1) y' = %3D

A: We need to evaluate the derivative of the following function y = sin-12x+1 Formula Used : ddxsin-1x…

Q: Find the derivative of y = 3x2 sin x.

A: Given: y=3x2sinx for finding derivative of given expression we will use product rule given below…

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

A:

Q: Find the derivative of y with respect to x.

A: Assume z=x^5+1. Then found derivative dy/dx using the chain rule.

Q: Find the derivative of the function. y = 2 tan 5x

A: To find the derivative of: y=2tan5x Solution: y=2tan5x Differentiating both sides w.r.t x we get:…

Q: Find the derivative of the function. y = (( 1- cos 2x ) /( 1+ cos 2x ))4

A:

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

A: To find: Derivative of sin-1(2x+1)

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

A: We have to find derivative

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

A:

Q: Find the derivative of  y=ln [tan-1(7x5)] with respect to x.

A:

Q: Find the derivative of the functiony=tan^2(6x)

A: we have to find derivative of f(x)we will use following rules

Q: Find the derivative of the function defined by the equation x+y=arctan(xy).

A: To find the derivative of the given function.

Q: Find the derivative of the function h(x) = x2 arctan5x

A: The given function is h(x) = x2 arctan5x

Q: Find the derivative of y with respect to x. 2x + 3 26) y = sec-1

A: Let, z=(2x+3)/5   We differentiate using the chain rule

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

A:

Q: 2 Find the derivative of y = arctan(x´ + 3)

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

Q: Find the derivative of y = 2x cos x − 2 sin x.

A: Given function y=2xcosx-2sinx dydx=ddx2xcosx-2sinx=ddx2xcosx-ddx2sinx Recall the formula…

Q: Find the derivative of the function

A: We have to find the derivatives of the function: y=x tan-12x-14ln1+4x2 If two functions are in…

Q: 6. y = vx sin-'(x)

A: we havey=x sin-1(x)

Q: Find the derivative of y with respect to x. y = 3 sin -1 (5x 3)

A: Given data:     The given expression is: y=3sin-1(5x3).   Assume 5x3=u and differentiate it with…

Q: Find the derivative of the function. y =sin(tan 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 y with respect to x. 6x + 7 -1 6. y3-Cos %3D

A: dydx=?

Q: Find the derivative of y with respect to x. y=ln(tan-1(4x5))

A:

Q: x² q(x) =- sin(x)

A:

Q: find the derivative of y with respect to the givenindependent variable. y = 2x

A: y=2x

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 of the function. y [x + (x + sin²(x))-1*

A:

Q: Find the derivative of the function. y = ln∣sec x + tan x∣

A: given function, y= ln | sec x + tan x| we have to find the derivative of the given function

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

A: derivative

Q: calculate the derivative y = (sinh−1(x2))3

A: Given The chain rule of derivative is given by: The derivative of the inverse hyperbolic function…