Find the derivative of the trigonometric function. y = 3x cos(x) + x6 sin(x)

Q: find the derivatives y=sin^3(x)+sin(x^3))

A: we have to find the derivative

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

A: Derivative of some trigonometric function: (cosx)' = -sinx (√x)' = 1/2√x (sinx)' = cosx (tanx)' =…

Q: y = cos*x – sin*x

A: y = cos 4 x -  sin 4 x

Q: When f(0)=0 and f(pi)=0, what is the derivative of the function  7e^x + 6sin(x), and what is the…

A: Let the given function be:Applying the derivative with respect to x:Derivative of ex is ex and the…

Q: a) Find the derivative in its simplest form for the following function 1–tanx y = tan-1 ¹

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Q: Find the derivative of the trigonometric function.

A: Given :           h(x) = sin 2x cos 2x   To find h'(x)

Q: Find the derivative of the function.

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Q: Find the derivative of the trigonometric function.

A: To find the derivative of the trigonometric function.  y=csc1-2x2

Q: Find the derivative of the trigonometric function.

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Q: The derivative of the given function is cos x sin x

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Q: g (x) sin? x + cos?

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Q: Find the derivative of the following function: 5. sin (cos(x))

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Q: Find the derivative of the trigonometric function.

A: Derivative of the sum of two functions f(x)+g(x) can be calculated as f'(x)+g'(x). Derivative of the…

Q: Determine the derivative of the following inverse trigonometric functions. 1. y = xsin x- +V1-x² 2.…

A: As we know that; The Power law; ddxxn=nxn-1 The product rule; f·g'=f'·g+f·g' The chain rule:…

Q: Find the derivative of the trigonometric function.

A: Consider the given trigonometric function. fθ=θ+1cos θ   Product rule for differentiation.…

Q: 2xy π Find the equation of the tangent line of the function tan (xy²) = " at x = π

A: This question is based on finding tangent equation while calculating slope.

Q: • y= cos(a' + x')

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Q: Find the derivative of the trigonometric function. y = cos 4x

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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 the given function h(θ)=sin (cos( θ ))

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

A: The given function is y = sin x

Q: cos (5x-0.1) w(x) =- e*

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Q: 1) tan x Find the derivative of y= = e

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Q: Find the derivatives of the functions y = x2 sin4 x + x cos-2 x

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Q: Find the derivative cos x y = 2 sin x

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Q: Find the derivative of the trigonometric function. y = sin(3x2 + cos x)

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: (a) Find the derivative of the function g(x) = sin2 x + cos2 x (b) then use a trigonometric…

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Q: ■ Find the derivative of the function. Simplify wherepossible.  y = arccos (( b+a cos x)/( a+ bcos…

A: Quotient rule of differentiation:       Chain rule of differentiation:…

Q: Find the derivative of the trigonometric function.   y = csc(1 − 2x)2

A: the given function is: y=csc1-2x2 we have to find the derivative of the given function.

Q: Sin X I+ COS f' (x) =>

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Q: Find the derivative of the trigonometric function. y = cos((?x)8)

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Q: (b) Find the first 4 derivatives of ƒ (x) = b cos (x), and use the results to find the following…

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Q: a) Find the derivative of y = 2 sin-1 x. b) What is the value of the derivative at x = 0.

A: given

Q: f(x) = 2 cos I - 3:

A: Of a function y = f(x) of a variable x is a measure of the rate at which the value y of the function…

Q: (a) Find the derivative of cos(1+x²).

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Q: Find the derivative of the function y = cot^-1 x2 – cos^-1 x + 1/x – 2 %3D

A: To find the derivative of: y=cot-1(2x)-cos-1x+1x-2...(1) Note that:…

Q: 1. Find the derivative the following functions y=-10x+ cosx y=x'sinx

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: find the derivative. y = cos−1(x2)

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Q: Find the derivative of the trigonometric function. f( ) = 1/4 sin22

A: The given trigonometric function is: fx=14sin22x To differentiate this function, apply the chain…

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

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Q: Find the first and the second derivatives of the following function sin x y sin( xy) cosx

A: Chain Rule:- It is called the chain rule because the derivative of composites of function is used by…

Q: Find the derivative of the function. (®) = cos(6?) f'(0) =

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Q: Find the derivative of the trigonometric function: f (x) -3 cos x + x* sin x

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Q: Find the derivative of the trigonometric function. y = 5 cos(  x)2

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Q: Find the derivative: 1+e5 f(x) = = COS 1.

A: The given function is f(x)=cos1+e5x1-e8x

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

A: The given equation is; y = sin( cos x )

Q: Find the third derivative [f"(x)] of the given function: f(x) = 8 sin() %3D

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Q: Find the derivative of the trigonometric function. y = cos(5x + csc x)

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Q: sin x y = 1 + cos x

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Q: Calculate the derivative of the following function. y= cos (8 sin x)

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