Determine the derivative of the following inverse trigonometric functions. 1. y = xsin x- +V1-x² 2. y = cos (sin- () 3. f(x) = xsec

Q: Find the derivative of the trigonometric function. У %3 бх сos(x) + x° sin(x) y' =

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Calculate the derivative of the following functions.

A: Given function is y=cos47x3. To find the derivative of the given function. Solution: Power rule of…

Q: Calculate the derivative of the following functions.

A: Given: y=sinsinex Solution: Chain rule of differentiation states that: ddxfgx=f'gx·g'x…

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Q: 1. Find the derivative of the following function: f(x) : (x² sin- if x ± 0 if x = 0

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Q: Calculate the derivative of the following functions. y = cos 5t

A: Given ,          y=cos 5t

Q: 13 Find the derivative of the function. Y = 2² + cos" (xx) a

A: Solution:- Given function is  y= a4+cos4(x)           ----------(1) Here, the variable is 'x' and…

Q: 2: Find the derivatives of the following function with respect to x. i) x = sin h' y

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

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Q: Find the derivative of the trigonometric function.

A: Derivative of the sum of two functions f(x)+g(x) can be calculated as f'(x)+g'(x). Derivative of the…

Q: 10. Determine the derivative of the function with respect to x. y = sin?(x)

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Q: Solve for the derivative of the following functions. Write your answer on a separate sheet of paper.…

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Q: 3. Find the derivative of each of the following functions. Justify your answer. (a) f(x)= (b) y e I…

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Q: Find the derivative of the trigonometric function. y = cos 4x

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Q: Find the derivative of the function. = cos (a° + a") y = cos

A: Given,            y = cosa9 + x9

Q: Find the derivative of the following function. y = 4 sec x+4 cot x

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

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

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Q: find the derivative of the given function h(θ)=sin (cos( θ ))

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

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Q: Find the derivative of the following functions: y = In(sec x?) + tan-1(cosx) +4 tan x?

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Q: cos(x) ||

A: If the two functions f(x) and g(x) are differentiable (i.e. the derivative exist) then the quotient…

Q: Calculate the derivative of the following functions y = sin (4 cos z)

A: Consider the provided function, y=sin4cosz Find the derivative of the function.

Q: Find the derivative of the function.

A: Given function is ht=sincos-1t. Solution: Chain rule of differentiation states that: ddxfgx=f'gx·g'x…

Q: -1 y = cos –6•x³ - 6·x³

A: Given function is: y=cos-1-6x3 Then we get, cos y=-6x3

Q: Find the derivative of the given function. 402 y%3D cos

A: Given,          The function is y=cose-4θ2.

Q: Find the derivative of the following functions. Write your answer on a separate sheet of paper. 1. y…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Find the derivatives of the following functions: a) y2 sin x – tan (x + y) + 3x = 0

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

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Q: f(x) = 2 cos I - 3:

A: Of a function y = f(x) of a variable x is a measure of the rate at which the value y of the function…

Q: Calculate the derivative of the following function. y=cos(9sinx)

A: y= cos x  y' =- sin x  y= sin x  y' = cos x

Q: 1. Find the derivative the following functions y=-10x+ cosx y=x'sinx

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: x² sin(x) 8. k(x) = cos( x

A: The given function is kx=x2sinxcosx

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

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Q: A) Find the derivative for the following functions: 1) y = log(x sinx) 2) y = tan(x') 3) y = (x sinx…

A: (A) (1) Differentiate y w.r.t x using the quotient rule for differentiation.…

Q: ..] Find the derivative of the following functions: a) (e* sin 5x) b) y = csc x +e** csc x+e*

A: Apply the product rule, (f.g)'=f'.g+f.g' Add/sum rule, ddx(f±g)=f'±g' Derivative of sine function,…

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 functions. Write your answer on a separate sheet of paper. 1. y…

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Q: d. x cosy + y sin x –1 = 0 3 х е. = 2 x y

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Q: Find the derivatives of the following functions with respect to x  x=tan (e-y)

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

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Q: Q1: Find the 4th derivative of the following function. F(x) = sin x cos x %3D

A: To find the derivative of the given function

Q: Find the derivative of y= cos with respect to x. -1 The derivative of y= cos with respect to x is 1

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Q: Find the derivative of the following functions: x2 +4 (a). f(æ) = x2 %3D 4 (b). f(x) = 2 tan '(x) –…

A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

Q: I Find the second derivative(y") of the following functions and simplify the final result 1. y = x –…

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Q: Find the derivative of the given function 1+ sin(3 f(x) = ( V + 1

A: To find the derivative of the given function  Use formula of  Derivative of u/v  = { u'v - u v' } /…

Q: Calculate the derivative of the following function. y= cos (8 sin x)

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

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Q: Find the derivative of the function: h(t) = sin(arccos t)

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