1+sin 2 x 1) Find the derivative of f(x): 2 cos3 x

Q: Find derivative of the following functions 1. y= sin^-1 2x^2 2. y= tan^-1 2x^2/5

A: Given 1. y=sin-1(2x2)2. y=tan-1(2x25)

Q: Find the derivative of the function. f(x) = sin−1(6x)

A:

Q: determine the general derivatives f(x)= -3 f(x)= sin x + cos x -sec2x

A: Simple use the identity of derivative of constant is zero and derivative of sinx is cosx and…

Q: Find the derivative of cos(xy^2) = -3y using implicit differentiation

A:

Q: The derivative of sec2 2x(cos2x−sin2x) with respect to x is

A: Given: f(x)=sec2 2x(cos2x−sin2x)   Simplify the function before finding the derivative: By  the…

Q: 1 Find the derivative of g(x)= (x)sec(x) + a+ x* + cos - sin(x)

A:

Q: What is the derivative of x 3 sin(x)? Select one: (sin(x) + 3x cos(x)) 2 Зх 3 + cos(x) 2 Зх 3 2 O…

A: Derivative of the 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 the trigonometric function.

A: The given function is y=31-sinx2cosx

Q: 3) Determine the derivative of f (x) = (2x)53*. 4) Determine the derivative of f (x) = sin…

A: 1. By using u.v rule 2. By using chain rule

Q: Find the derivative of the function. f(x) = sin-(4x) f'(x) = %3D

A: The given function is: f(x)=sin-1(4x) To find f'(x) here.

Q: 4. Find the derivative of g(x) = e5" sin(-x). Do not simplify.

A:

Q: Find the derivative of the function.

A: The given function is y=ln5sinx

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

A:

Q: Find (i) the first derivative of f(x) = 3 x³. Inx + 5 e*. sin-1x + tan-1(4x) (ii) the second…

A: To find the following parts,

Q: Find the derivative f(x) = [sin(4* + x)][cos(x* + 4) %3D

A:

Q: sin(x') In(5x + 7x- 3) 6) Find the derivative of: y =

A: Formula 1: Let f(x) and g(x) be two functions, then f(x)g(x)=g(x)f'(x)-f(x)g'(x)(g(x))2 The given…

Q: The third derivative of y = sin is 1 -sin b) y" = --cos 1 а) у 8. 2 2 c) y" =-8sin d) y" = -8 cos

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Q: f (x) = cos-(sin(x² + 3х))

A:

Q: 19. y = sin-1+ cos-1 2 2

A:

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 of f(θ)=(sinθ/1+cosθ)^2

A: differentiate wrt theta

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

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

Q: 2 cos x 4. Consider the function f(x) = x2 find its derivative

A: Given function: fx=2cos xx2Differentiate the above function w.r.t 'x' f'x=ddx2cos xx2

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

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

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Q: Find the given higher-order derivative. f ''(x) = −sin(x),    f (8)(x)

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Q: Find the derivative of the function. h(x) CoS x 6. %3D 1+ sin x sin x -61 coSX --6 cosx (1+ sin x)6…

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Q: What is f(2022) (cos x), the 2022nd derivative of f(x) = cos x? COS X sin a sina

A: To find 2022nd derivative of f(x) = cos(x).

Q: Find the first derivative of the following function: 1. y = sin (2x) - cos (2x)

A:

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

A: y=cos-1sin-1t

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

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

Q: F of X equals 3 sin X + cos 4X;(pi,1) Find the derivative and find the slope of the tangent line to…

A: Given:FX=3 sin X+cos 4X ; the point π,1

Q: What is the derivative of 2x cos x ? 2 cos x - 2x sin x 2 cos x+ 2x sin x -2 sin x 2 sin x 2x-sin x

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Q: Find the first derivative of the function 3 cos x y = x? sin(2e*)- ex Show all the works clearly.…

A: The given function is y=x2sin2ex-3cosxex.

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

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Q: How to find the anti derivative of sin(x)/cos^3(x)

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Q: [4][Sec 2.6] Find the derivative of the function but do not simplify: f(x) = cos(sin 3x) .

A: solution

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

A:

Q: Find the derivative  f(x) = cos-1(3x) sin-1(3x)

A: To differentiate the function with respect to x.

Q: 1+sin 2 x Find the derivative of f(x) 2 cos3 x

A:

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

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

Q: |sin x.cos x %3D 1+ 2.ln x

A:

Q: Use Leibniz’s Rule to find the derivatives of the functions

A: Use Leibniz’s Rule to find the derivatives of the functions

Q: Find the derivative of a. (e(sin2x))/[In(cos2x)]2

A: We have to find out derivative

Q: Find the function f(x) whose derivatives is sin x and whose graph passes through the point (0,2).…

A:

Q: sin (ax + b) Find the derivative of - cos (cx + d)

A: The given function is  y= [sin(ax + b)] /[cos(cx +d)] To find derivative of the function i.e. dy/dx