1. y = cos (sinx) cot 3x? 2. F(x)= 9x 3. y = sin (tan 3x) -1 3. у%3D sin 4. h(x)= sin' 3x-6x sec 7x y = cot 5x 5.

Q: Find the derivative of the function. y = cot?(sin(8))

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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: When f(0)=0 and f(pi)=0, what is the derivative of the function  7e^x + 6sin(x), and what is the…

A: Let the given function be:Applying the derivative with respect to x:Derivative of ex is ex and the…

Q: r(0) = tanh-1(cos 0) + cosh(0º)

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Q: d cosx)= -sinx dy lim Cos(Xth)-coslx) ha0

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Q: Find the derivative of the functions. (Answer Five only ) xIne 1- y = In x 2 In 5 In 25 2- y =…

A: In this question we have to find the derivative of the functionwe

Q: Q2: Find the tangent line when the function 1- y= 4+Cot x -2Sec x and point ( ,0) 2- y= x2 at the…

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Q: A. Solve for the Derivatives of the following functions. Final answers should be in simplified form…

A: Given y=tan-1(4sinx3+5cosx)

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: . h(x)= cot 1 -tanx

A: Given:hx=cot-11x-tan-1x

Q: find the derivative of the following functions: sin(x^(2)+2) (tan^(-1))(z^(1/2)) x^(sin(x)) find the…

A: find the derivative of the following functions:sin(x^(2)+2)(tan^(-1))(z^(1/2))x^(sin(x))find the…

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

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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: 1. f(x) = 3ex +1 2. f(x) = 45x + x45 3. f(x) = 10 sin x + 5 sec x 4. f(x) = x²(2x + 1)

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: 7. y = tan ex + etanāx

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Q: find the derivatives with use of trigonometric functions 4 y = sin 2xcos' 3x tan 2x y = 1- cot 2x 3…

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Q: Solve Sin (3x) %3D cos (2x)

A: to find derivative of y=sin3xcos2x

Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Given, y=coshtan-13x

Q: y = cot (c*) Arc cos (1-2x)²

A: Explained below

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

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Q: Find using IMPLICIT DIFFERENTIATION by following the steps below. y = arccos(5r + 1), or in other…

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Q: The derivative of y = 3 cos (V1-x²) + (1-x²), can be written as sin ( V1-x² ) – ( 1–x²) }) 3x…

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Q: 1. Find the derivative of the following sin² x cos² x a)y + 1+cotx 1+tan x

A: We have to find derivative of given trigonometric term.

Q: Find the derivative of the function. y = cot (sin(8))

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

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Q: Find the derivative of the trigonometric function. y = sin(3x2 + cos x)

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: (a) Find the derivative of the function g(x) = sin2 x + cos2 x (b) then use a trigonometric…

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

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Q: Find the derivative of the given function: 1. y = --cot3(2x) + cot(2x) + 2x 3 secx 2. у %3D 1+tanx…

A: We have to find derivative Cot x = -cosec² x  Tan x = sec² x Cosec x = -cosec x cot x

Q: Determine the derivative of the following functions. Show your complete solutions. Factor out the…

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

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Q: Find the derivatives of the functions r = sin (θ2) cos (2θ)

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Q: Find the derivative of the function. (0) = cos(0?) r(0) =

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

A: y=cos-1sin-1t

Q: b) Use implicit differentiation to find for the equation yz? -e** cos (4zx)–3y² =4. F. DO NOT use…

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Q: (a): Find the first order derivative for the following function: 1+cosecx y = 1- cosecx dy (b):…

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Q: Find the slope of the tangent line to the sine function at the origin. y 2 y=sin -1 Compare these…

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Q: The derivative of y = 3 cos (V1-x²) + (1-x²) ² can be written as 3 1– x² sin ( V1-x²) - (1-x² ) 7 3x…

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Q: 2n tan h 3x 3-) Arc sin tanh X

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Q: Find the derivative: 5.) y = cos 4t

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Q: The derivative of y = 3 cos (V1- x²) + (1-x²) 2 can be written as 3 1–x² sin ( /1-x² ) - (1-x² ) 3x…

A: This can be done as follows:

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: Find the derivative of the following. y = 1/2 tan x sin (2x) + cos (2x)

A: Given function is y=12tanx sin2x+cos2x. Solution: Product rule of differentiation states that:…

Q: Consider the equation 27 sin (y) =2 x y. Use implicit differentiation to find an expression for y'.…

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Q: Find the derivative of the trigonometric function. y = 5 cos(  x)2

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Q: In(x*y?) — х? +уз

A: Given equation is: lnx3y2=x2+y3 ......................... (1) We have to find d2ydx2 i.e. y".…

Q: 35. y = cot? (sin 0)

A: Solution:-

Q: I Find the second derivative (y") of the following functions and simplify the final results. 2sin…

A: topic - double derivative of a function

Q: y = k2 (Arc sin) – xvk2 – x² where k is a constant.

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Q: sin x y = 1 + cos x

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