Evaluate y' of y = tan-'(cosx).

Q: y = 3 sin 3X tan 2x

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Q: Find the first derivative of y=x arcsin x + √1-x²

A: y=x arcsinx+1-x2

Q: (5x) S sin(x) tan(x) .........

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Q: find the derivatives of both: y = sec2(x) − tan2(x)   y = x3 cot(x)

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Find the derivatives of the functions y = 2 tan2 x - sec2 x

A: Given  The function  is y = 2 tan2 x - sec2 x Formula

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 second derivative of y=(tan(2pix))^3

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Q: Compute the derivative. y = sin (4 / θ )

A: The chain rule of differentiation is used to find the derivative of a composite function and given…

Q: Calculate the derivative.

A: The power rule of integration is given by , where C is an integration constant. The chain rule of…

Q: Find the 50th derivative of y = cos 2x

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Q: 3x-x Tan 1-3x? х-х

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Q: compute the derivative y = sin(2x) cos2 x

A: Given y=sin(2x)cos2x The product rule of derivative is given by:

Q: f(x) = e2 sin¯+(3x) + In (cosh-1(e³x))

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Q: Find the derivatives of the functions in Exercis

A: Given function is: y=1x sin-5 x-x3 cos3 x We have to find dydx.

Q: What is the derivative of y = sin(3x²) cos(3x²)

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

Q: 2sin x -1 2. y = cosx+ 2

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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

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Q: find the second derivative and simplify the final result 4. y= 5/ (sin3x + cos3x)

A: y=5sin3x+cos3x Differentiating with respect to x, we get…

Q: compute the derivative. y = sin(2x) cos2 x

A: We can find the derivative of this function by using the product rule of differentiation . According…

Q: Find the derivatives of Inverse trigonometric y = arctan (1+4x) у 3 arcsin (1-2x) у 3 arccos V1 -х

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Q: Find the first derivative of y = Arc tan √x² −1+ Arc csc x 2 O 2 O 0 2 Ox√²+1

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The derivative of sec22x(cos2x−sin2x) with respect to x is?

A: I have appended the formula used in the solution part of the question

Q: 4. Use implicit differentiation to find an equation for the tangent line to the graph of sin(x +y) =…

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Q: Is it true that the derivative of y=arcsin(cos2x) is -2?

A: The function is y=arcsincos2x.   Differentiate the function with respect to x.…

Q: compute the derivative : y = cos(cos(cos(θ)))

A: the given function is: y=coscoscosθ we have to find the derivative of the given function.

Q: compute the derivative. y = 4 cos(2 − 3x)

A: We know that, ddxcosx=-sinx. Chain rule states that, ddx(f(g(x))=f'(g(x))×g'(x).

Q: Find first and 2nd derivative guncic 2 tan2x 3.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the 44th derivative of the foaction f = cos Cx) COs() %3D answer:

A: Answer

Q: Find the derivative of r = In (cos" x).

A:

Q: find the first derivative: y=tan (x sin x)

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

A: Use power rule and chain rule.

Q: Find the derivative 1. h(x) = cos3(tan2x) 2. h(x) = x5 sec(1/x)

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Q: g(x)%3Dx sin(2*)

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Q: sinx In (2) co cos 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 derivative of the function. y = xV 25- x2 + 25 arcsin 2

A: Follow next step

Q: Find the derivative. y = In(x²)tan (3x) %3D

A: Given:

Q: Find y' by implicit differentiation: 8 cos(ry) + x4 = yª

A: Given: 8cosxy+x4=y4 For finding derivative of given expression, we differentiate given expression…

Q: y = eVx+cosx

A: To  findderivative of1)y=ex2+cosx

Q: 1. y= ArctanB %3D 3-V9-x2

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Q: Find the derivative of y=x?sinx x?cosx +2xsin x 2xcos x x2 sin x+2xcos x x2cosx

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Q: Va2-x² Y=Arc sin- + а

A: Solution-

Q: 14. y = In cos 4x

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The first derivative of the function tan2x sec2x C) sec2x cos2x O A) 2sin(2x) O B) (1-cos4x) O

A: It is known that ddxsinbx=bcosbx, where b is a constant.

Q: Find the first derivative y= tan2(sin x)

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Q: Find the derivative of y = (sin x)arcsin x %3D

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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: s(w) = In( w - %3D

A:

Q: How are the derivatives of sin-1 x and cos-1 x related?

A: Given functions are sin-1x and cos-1x