h(x) = sin 2x cos 2x

Q: Find the derivative of the function

A: Given expression

Q: Find the derivative of the trigonometric function. g(t) = 5 cos2t

A: g(t) = 5 cos2t We need to find the derivative of the trigonometric function:

Q: Find the derivative of the trigonometric function.

A:

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

A:

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

A:

Q: Find the derivatives of the functions r = √(2θ sin θ)

A: Product rule of derivativef'u.v=v f'u+u.f'v or   u.v=u'v+v'uQuotient rule of…

Q: Find the derivative of the function. 3 – 2x – x2 x2 - 5 f(x) f'(x) =

A: The given function is,

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: 3. (a) What is the derivative of sin(g(z))7 (b) What is the derivative of sin(2r + T)?

A: We have to find

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

A:

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

A:

Q: 3. Find the derivative of the following functions, then use the derivatives to find the equation of…

A: Given function is f(x)=2x+3 find the equation of tangent lines at x=-1 and 2

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: Solve for the derivative of the given functions using the Chain Rule formula. Suppose f(x) =…

A: Given: f(x)=sin(2x)+17 To find: f'π2 and f'(π)

Q: y = sin(cos x)

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

Q: Find the derivatives of the functions r = sin (θ + √θ + 1)

A: r = sin (θ + √θ + 1) To find the derivatives of the functions. dr/dθ = ?

Q: 1 y = cos 6x

A:

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

A:

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

A:

Q: y = cot (c*) Arc cos (1-2x)²

A: Explained below

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

A:

Q: tan(xy) + xy = 0

A:

Q: What is the derivative of sin? x f(x) = with respect to x? COs x

A:

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

A:

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

A:

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

A: The given function is y = sin x

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

A:

Q: h(x) = (cos x)(4x²– 3)

A: Explanation of the answer is as follows

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

A:

Q: COS te

A:

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

A:

Q: find the derivative and simplify the answer sin² (esin t) + cos-{(2t3 – 5)

A:

Q: cos(xy) + secy = 5

A: Given: cosxy+secy=5 We know that  ddxcosx=-sinx…

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

A:

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: sinh x 1+ cosh x

A:

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

A:

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 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: 14. y = a' + cos'r

A:

Q: 2. a) Find f (x) if the function is f(x) = + sinx cosx b) What is the value of the derivative at? c)…

A: Given, f(x)= 1/sin(x) + 1/cos(x)

Q: 2x Sin 1+x?

A: Evaluate the derivative of the given function as follows.…

Q: Find the derivative of y=(e^2x)sin(5x)

A:

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

A:

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

A:

Q: sin x y = 1 + cos x

A:

Q: Find the derivative of the following function. g(x)= 1+cos x / x + sin x

A:

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…