5. Find the derivative of --( 1 + sin 0 cos 0

Q: Find the derivative of the function f(x) = = sin(x) - 1 cos(2x) + 1 4

A:

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

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Q: 7. Find the derivatives of y = cos- (sin(2x)) (show work)

A: Using derivatives of composite function. Or Using trigonometric transformation.

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

A: We will find the derivative using Chain rule

Q: 2. Find the derivatives of Y with respect to x if; x=arc sin ex.

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Q: 6. Find dy/dx by implicit differentiation for tan-'(²y) = sin(x²) + 3ry?.

A:

Q: compute the derivative y = sin(2x) cos2 x

A: Given y=sin(2x)cos2x The product rule of derivative is given by:

Q: +0.0001) – 1, tan(4 4. Which derivative is approximated by 0.0001

A:

Q: What is the derivative of x sin(x) at the point (6,5)? 2 O 1 O-1 O None of the above

A:

Q: Find the first derivative for y = 5 cos x

A: Given,          y=5cosx

Q: 4. Find the derivative of the following function. 1+ sin x 8(x) = 1+ cos x

A:

Q: 1. Explain two different ways to solve for the derivative of s(0) = 200sin cose

A: The given function is : s(θ)=200sinθcosθ We need to find the derivative in two ways.

Q: What is the derivative of y = sin(3x²) cos(3x²)

A: We have to find the derivative of given function.

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

A:

Q: Find the derivative of the function r=sin(θ3)cos(3θ) dr/dθ=?

A:

Q: sin x (cos x+1) dx 7. S (cosx +1)2

A: Given that: ∫sinx(cosx+1)(cosx+1)2dx           NOTE: As per our answering guidelines, we can only…

Q: 2х Find the second orfer derivatives of y=Tan" 1-x3

A:

Q: compute the derivative. y = sin(2x) cos2 x

A: We can find the derivative of this function by using the product rule of differentiation . According…

Q: Find the derivatives of the functions in Exercis

A: Chain Rule: f(g(x))'=f'(g(x))g'(x) Differentiation formulae: ddxsinx=cosxddxcosx=-sinxddxax=a

Q: I need to find the derivative of the function f(x) = cos-1(ln(sin(3x+1))) but I am unsure how to…

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Q: Find the derivative of (a) (교2 + 1)" (6) In(cos²(e2")) 2x (c) sin-1 e-1 dt x +1 In a

A:

Q: Find the derivative of the function.

A: Given: y=lncosxcosx-1

Q: Find the derivative of cos (ry) = -4x° y? + 5 using implicit differentiation.

A:

Q: Find the derivative of the function f(x) = at sin(7x + 14) + In(2r+10)

A:

Q: 1) Find the derivative of f(x) = 1+sin 2x %3D 2 cos3 x

A:

Q: Find the derivative of f(θ)=(sinθ/1+cosθ)^2

A: differentiate wrt theta

Q: What is the derivative of 0.50 sin 2t+0.30 cos t

A:

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

A:

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: S Sin 5t-205 2t-2(03 2€ ; s(登)=

A:

Q: Find the derivatives of the functions

A:

Q: ) .3 Find the derivative of h(x) = cos (2x – 5 %3D

A: Given,            hx=cos42x3-5To find : The derivative of the given function.

Q: sinx In (2) co cos x

A:

Q: find the derivative of sin (ax + b) cos (cx + d) CX

A: According to product rule of differentiation ,and according to chain rule of differentiation ,.

Q: If y- sin x and yn) means "nth derivative of y with respect to x", what is the smallest posilive…

A:

Q: find the first & second derivative of fox)=e 2. Cosx.

A: Given: The function fx=x2excosx, To find: First and second derivative of given function fx.

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

A: y=cos-1sin-1t

Q: 17) Find the derivative of y = x? COs x - 2

A:

Q: 1) Find the derivative of f(x) 1+sin 2 x %3D 2 cos x

A: we are given the function is  f(x)=1+sin2x2cos3x

Q: 5. Find the derivative of the following. 3x-5 а. у3 b. y = In (sin(3x-5)) c. y= e2x arc tan (2x + 3)…

A: Explanation of the answer is as follows

Q: Which is the derivative of y= sin (x2-2x + 1)? О 2х-2) (2x-2)Cos(x²-2x + 1) O Option 2

A:

Q: 7) y=cos/2x+1

A:

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

A:

Q: 14. y = In cos 4x

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the equation of the line tangent to f(x) = cos² x – sin²| %3D at x = 6

A:

Q: What is the derivative of the: y = (1 + cos2 x sin x2)3/2

A: Given: y=1+cos2x sinx232 differentiate with respect to x, dydx=ddx1+cos2x sinx232dydx=321+cos2x…

Q: h(x) = sin 2x cos 2x

A: Product Rule of differentiation: If fx  and  gx are any two differentiable functions, then…

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

A: By see this solution below

Q: The derivative of: y =0(sin (In (0)))+cos(In (0 )) is:

A: Given :y=θ(sin(ln θ))+ cos ln θ dydθ=θcos ln θθ+sin ln θ-sin  lnθ θ      =cos ln θ+sin ln θ-sin  lnθ…

Q: How are the derivatives of sin-1 x and cos-1 x related?

A: Given functions are sin-1x and cos-1x