1. Differentiate the function: Y = arccos(sin x)

Q: Find the derivative of the trigonometric function.

A:

Q: Differentiate the function.

A: We write the expression using an exponent first

Q: find dy/dx as a function of x. y = sec (tan x) %3D

A: Given that  y=sec(tan x)2

Q: Fnd the equation of osculating cirele eguation circle for y = ln( sinx) Sin. at x = 2.

A:

Q: y = tan* (sin æ)

A: Herewe have to do derivative of the given function.

Q: Differentiate implicitly the function y(x) given by the equation y=cos(x+y).

A:

Q: Differentiate the function: y = arccos(tan x)

A: Use the chain rule of derivative and simplify.

Q: -Use implicit differentiation to find y: a- tan xy = y b- tan?(y + 1) = 3sinx %3D

A:

Q: Differentiate the function. sin eC y = 3 +

A: To differentiate the given function y=sin(theta)/3 +(c/theta)

Q: Differentiate the function y=ex(sinx−cosx).

A: y=exsinx-excosx.

Q: Graph the Cosecant Function y = csc x and the Secant Function y = sec x

A: To graph: y = csc x y= sec x

Q: Differentiate the function: y= cos x

A: Given: y=cos x To Find: To differentiate the given function

Q: Differentiate the function.

A: Derivative of y=ln tanx2

Q: -Use implicit differentiation to find y: a- tan xy = y b- tan? (y + 1) = 3sinx

A:

Q: Differentiate the function y = e tan x

A:

Q: Differentiate f(r) COS (5c). Use exact values.

A: Given that f(x)=cos-1(5x) Find f'(x)

Q: Differentiate. y = (Cos x)x

A: Given: y=cosxx for differentiating given expression, we take log both side, then differentiating it

Q: y = e*In(sinh x)

A: See the details solution in below

Q: 3 (a) Differentiate the left-side functions with respect to the right-side ones I+/(1+x³), i) tan…

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Q: Find the derivatives using Trigonometric Functions 4 y = cos* t – sin* t \1/2 ソ= v = (2 tan² 20 –1)"

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Q: ind the derivative o y = sin(tan( %3D %3D

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Q: Differentiate the function. y = (cos(4x))*

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Q: Find the derivative of the trigonometric function. y(x) = sin v cos(tan x)

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Q: Find the derivative of the trigonometric function.

A: Given,          g(v)=cos vcsc v

Q: Find the derivative of the trigonometric function.

A: Consider the function: y=x+cotx…

Q: y = In (sec 0 + tan 0)

A:

Q: Use implicit differentiation to find given the relation arctan(5x + y) = 5x2. dx

A: First do some simplification of given relation than use the chain rule of derivative and simplify.

Q: cosy = x, so implicit differentiation gives - sin(y)y' = 1, or

A:

Q: How do I differentiate the function y=e^tan(θ)?

A: y=e^tan(θ) We need to differentiate the function

Q: y = x sin (x)+ /1–x²

A:

Q: Differentiate the function. y = tan[In(ax + b)] y' = %3D

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Q: -1 Y = tan (cos z')

A:

Q: i need to find the derivative

A: Given that the function is

Q: Differentiate the function. sin e + y = 4

A:

Q: Consider the function below. z = sin(x) - sin(y)

A: graph of the given function is as follows  On matching between these options we get  the option e)…

Q: Differentiate the following function. y= sin° x dy 4. 5 sin " (x) cos (x) dx

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Q: What are the derivatives of sin g(t), cos g(t), and tan g(t)?

A: we have to find the derivatives of sin g(t), cos g(t), and tan g(t)

Q: Differentiate the function. y (x) = esin 2x + sin(e2")

A: It is given that, yx=esin  2x+sine2xWe have to differentiate the given function.

Q: differentiate the function  y=(x^4 sin^2(x))^(3x)

A:

Q: If f(y) tan (2y'), find f'(y). Use exact values. f'(y) =

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Q: If f(y) = tan- (3y*), find f' (y). Use exact values. %3D f'(y) =

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Q: Differentiate y = sin(e"). y =

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Q: 4 y= (arc csc 2x)*

A: Given function is: y = (arc csc 2x)^4 y = [csc^(-1) 2x]^4

Q: Differentiate the following function y sec(0) (0 tan(0))

A: The given function is,

Q: cos x – cscx y = cot x

A:

Q: Differentiate with respect to the independent variable: y= ( cos(4x) )x

A: Thaking natural log on both sides

Q: [In (e* *=)] y = sin? sin

A: Given  y = sin2 ln esin-1 x2   We know that ddxf(x)n = n·f(x)n-1·f'(x) ddxsinf(x) = cosf(x)·f'(x)…

Q: Find the derivative of the trigonometric function. y(x) cos V sin(cot")

A: Calculation:

Q: What do we call the point at x= of the function f(x) = sinx? 2

A:

Q: please differentiate the function provided in the images

A: Given that