The derivative of the given function is cos x sin x

Q: Use the rules of differentiation to find the derivative of the function

A: We have the given function as gα=4cosα+6       ⋯⋯1 As we know that, from the rule of differentiation…

Q: Compute the following derivative: 1 -3/x dx sin(x)

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Q: Find and simplify the second derivative of f(0) = cos(sin(30))

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Q: Find the derivative of the trigonometric function.

A: we need to find the derivative of the trigonometric function.  h(x)=sec6x

Q: Find the derivatives of the functions

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Q: Find the derivative of the following functions using the definition of the sine and cosine function.…

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Q: (a) Find the derivative of the function g (x) sin? x + cos? x (b) then use a trigonometric identity…

A: a) Given function: gx=sin2x+cos2x

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

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Q: Compute the derivative cos(sin(e7))

A: cos(sin(e7)) We need to find the derivative of the given function.

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: y = sin(cos x)

A: Given:- y = sin(cosx)  To find:- Derivative of given function

Q: Find the derivatives of the functions r = 2θ√cos θ

A: Given: r=2 θ cosθ To determine: drdθ

Q: sin (væ In æ)

A: Given function is sinxln x

Q: What is the third derivative of f (x) = a + cosæ?

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Q: Find the derivative of the following functions using the definition of the sine and cosine function.…

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Q: sin 3x y = 4+5 cos(2x)

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Q: Find the derivative of k(a)=sin^2a(cos^8a) k′(a)=

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Q: tan(xy) + xy = 0

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Q: Find the derivative of each of the following a) f(x) = [1+cos (7x)]³ %3D

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: sinr f(x)=(x)'

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Q: Find the derivative of the following functions using the definition of the sine and cosine function.…

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Q: Find the derivative of the following functions: y = In(sec x?) + tan-1(cosx) +4 tan x?

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Q: Find the derivative of the trigonometric function. f(x) = sin x/x3

A: To Determine: Find the derivative of the trigonometric function. f(x) = sin x/x3 Given:we have…

Q: Find the derivative of the trigonometric function.

A: Given,          g(v)=cos vcsc v

Q: The derivative of f(x) = 2 cos 2x is an odd function.

A: Odd function

Q: . Find the derivative of the following functions and simplify the answer: ly = 4x² cos x- 10x sin x…

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Q: Consider the function f(x) whose second derivative is f"(x) = 6x + 5 sin(x). If f(0) = 4 and f'(0) =…

A: Using integration & given condition.

Q: Find the derivative of the trigonometric function. f(x) = sin x cos x

A: The given function is f(x) = sin x cos x. Obtain the derivative as follows.

Q: Find the derivative of the trigonometric function. g(v) = cos v/csc v

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Q: COS te

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Q: find the derivative  h(x) = (x + cos^2 x)^8

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Q: Find the derivative 4 f(x)=/9sin? C~)+ 4 cos?(x) %3D

A: The rate of change in the value of the dependent variable with respect to the change in the value of…

Q: Find the derivative of the function. (0) = cos(0?) r(0) =

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Q: Use the rules of differentiation to find the derivative of the function. TT :는 cos(8) 5. y =

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Q: The derivative of y = e sin(x) sin2(x) can be written as y cos(x)g(x), Determine the value of g(x)…

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Q: What is the fully simplified derivative for the following functions? a) f(x) = sin(x)cos(2x) b) b(x)…

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Q: Find the derivative with respect to the independent variable. f(x) = cos ? (8x2 - 1) f'(x) = D %3D

A: Given expression: fx=cos28x2-1 In such type of problem we will apply function of function rule: If…

Q: Find the derivative of the function below.   r-sin (theta^9)cos(9*theta)   dr/dtheta=

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Q: The derivative of function g(theta) is given by g'(theta)=5 cos(theta)-3 sin(theta) and satisfies…

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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. (®) = cos(6?) f'(0) =

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Q: f(x) = (x + 6 sin x) (1 – 5 cos x -

A: To find the derivative of:f(x)=x+6sinx1-5cosx

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

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Q: What is the derivative sin?x+cos?x

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Q: sin x y = 1 + cos x

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Q: Use the rules of differentiation to find the derivative of the function                     g( ) = 4…

A: g(x) = 4cosx +6 dg(x)dx = d(4cosx+6)dx             = d(4cosx)dx + d6dx…