Solve for derivative. y = (x + cos x) ( 1 - sin x)

Q: y = cos*x – sin*x

A: y = cos 4 x -  sin 4 x

Q: Find the derivative of the trigonometric function. y = 2x sin x + x2 cos x

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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: 2. y = (cosx)(sin5x)

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

Q: 10. Find the derivative of y = cos /sin(tan 7x)

A: We will find the derivative using Chain rule

Q: Find the derivative y=cos(2x-x^2)

A: Properties used:

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: • y= cos(a' + x')

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Q: 10. Determine the derivative of the function with respect to x. y = sin?(x)

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

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Q: Find the derivative of the function.

A: The given function is y=ln5sinx

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

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

A: To find: Derivative of sin-1(2x+1)

Q: 83. Find the 50th derivative of y = cos 2x.

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Q: Solve the problem and give a detailed solution. Find the 3rd derivative of y = sin(ex)

A: y = sin(ex) Differentiate w.r.t.xy'=ddx( sin(ex) )y'=cos(x)ddx(ex )y'=cosexexDifferentiate again…

Q: Find the first derivative of y = cos4 x – sin4 x and y = x3   –  x2 cos x  +  2x sin x  + 2 cos x…

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

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Q: Find the first derivative Complete Solution.  1.) t=sinθtanθ

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Q: Find a formula for y" (the second derivative) if y = 2* · sin x.

A: Given that, y=2xsinx            ...(1)

Q: y = csch /sec(x³ + 2)

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

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Q: Find the derivatives of the functions y = 1/sin2 x - 2/sin x

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Q: The nth derivative of y = sinx cosx

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

Q: 1-cos 4x Find the derivative of y sin 4x

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Q: 4. Find the derivative of the following function. 1+ sinx g(x) = - V1+ cos x

A: Given: gx=1+sinx1+cosx for finding derivative of given function, first we simplify given expression…

Q: g(x) = cos ¹x+ 1-x

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Q: find the second derivative and simplify the final result. 3. 4ln(Arctan x) = 1-y

A: The given function is 4lntan-1x=1-y It can be written as  y=1-4lntan-1x Differentiating with respect…

Q: Find the derivative of the function. Simplify where possible. y   = Cos-1(Sin-1t)

A: y=cos-1sin-1t

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

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Q: The derivative of y=sin^{5}x

A: Differentiate using the chain rule dy/dx= dy/du * du/dx

Q: Solve for the derivative of y=ln ln [cos2(3x)] With the answer -6 tan tan (3x)  Show solution.

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Q: y = In(sin x)

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Q: 3. Find the second derivative using implicit differentiation x² + y? = 4

A: Given that x2+y2=4To find implicit differentiation

Q: Find the 31th derivative of the function f(x) = cos(x). The answer is function

A: f(x)=cos(x) f'(x)=-sin(x) f"(x)=-cos(x) f"'(x)=sin(x)

Q: 5. y = [csc Jarcsin (cos.x)

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Q: Q1/ Choose the appropriate function for this derivative sin x cos x V1+ cosx 2/1+ cos x

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Q: 5. Find the derivative of h(x) = cos(sin(cosx)).

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Q: y = sin1 + x² SI

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Q: What is the derivative of y tan-1 cos 4x ?

A: By see this solution below

Q: 1+sin 2x 1) Find the derivative of f(x) = 2 cos x

A: To find The derivative of given f(x)

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

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

Q: Solve for the derivative of the Trigonometric Differentiation. 1. y = sin (5x) + 3x cos (5x) 2. y…

A: given y=sin5x+3cos5xdiffrentiate w.r.t. xdydx=ddxsin5x+3cos5xdydx=ddx(sin5x)+ddx(3cos5x)we know that…

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

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Q: Find the first derivative of the function y = In[tan (pi/4 + x/2)

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Q: sin x y = 1 + cos x

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

A: derivative