By computing the first few derivatives and looking for a pattern, find the following derivatives. d999 а. 999 (cos x) d10 b. dr10 (sin x - 3 cos x) d73 с. dr3(* sin x)

Q: Find the derivative of the function. f(0) = cos(0²)

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Q: cos ( bVx3 f(x) = a ln sin(cx²)

A:

Q: find the derivative of the function s=4/3pie sin(3t)+4/7pie cos (7t)

A: Given function

Q: Which of the following functions have a 4th derivative different from itself? 0x4 ex sin x COS X

A:

Q: Find the derivatives of x=sin h2y

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Q: Find the 50th derivative of y = cos 2x

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Q: Q5:- Find the first order derivative of each of the following functions: a) y = esin-ix + In (cosx)

A: Given: y=esin-1x+ln(cos-1x) We know that ,  1. ddxex=ex 2. ddxlnx=1x 3. ddxsin-1x=11-x2 4.…

Q: Find the derivative y=cos(2x-x^2)

A: Properties used:

Q: Find the 90th derivative of y = cos 2x. %D

A: dy/dx of cos2x=-2sin2x.

Q: Let Vu + V2v + 1 = 5. Find each derivative. dv (b) du du (a) dv (c) Based on your answers to parts…

A: Given u+2v+1=5 To find  a) dudvb) dvduc) relationship between a and b

Q: Find the second derivative of the following  a .) 2x^3- 1/2x b.) Cos(x^2)

A: The given functions are  a) 2x3 - 1/(2x) b) cos(x2)

Q: Q1:- Find the first order derivative of each of the following functions: b) y = tan(secx2)

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Q: (c) Find the derivative of nh (cosu). Where n is 482

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

A: Given ,          y=cos 5t

Q: Q6/Find the following of derivatives (1) sec(sin2x) (2) (10e*) (3)In(x + x* + 1)

A: We need to find the derivative of given functions. For this we can proceed as following:

Q: Find the derivatives of the functions in Exercis

A: The rate of change in the value of the dependent variable with respect to the change in the value of…

Q: Find the 30th derivative of y = cos(2x). f(30)(x) =

A: Take the derivative multi times and observe the pattern then write the required answer.

Q: What is the derivative of y=cos3(5x)

A: To find the derivative of: y=cos3(5x) For that use chain rule and ddx(xn)=nxn-1ddx(cos x)=-sin x

Q: Find the given derivative by finding the first few derivatives and observing the pattern that…

A: Find the given derivative by finding the first few derivatives and observing the pattern that…

Q: Find the 75th derivative of y=cos(2x)

A: Given function y=cos2x The 75th derivative has to be founded  first consider the smaller…

Q: Find the derivatives of the functions y = (3 + cos3 3x)-1/3

A: Given that, y=3+cos33x-13

Q: Find the derivatives of the functions r = 2θ√cos θ

A: Given: r=2 θ cosθ To determine: drdθ

Q: Find the derivative of the following. sin y = cos (2x)

A:

Q: esin 2x [In (cos 2x)]?

A: Given: fx=esin2xlncos2x2   As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Chain rule:…

Q: Which of the following functions have a 4th derivative different from itself? ex sin x CoS X

A: In this question, we need to find which of the given functions have a 4th derivative different from…

Q: find the second derivative and simplify the final result 7. y= Arccos(e^2x)

A: To find     d2arccos(e2x)dx2

Q: 83. Find the 50th derivative of y = cos 2x.

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Q: 28) y = tan² 2 29) y = In ln x 30) y = (x In æ)²

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Q: By computing the first few derivatives and looking for a pattern, find d999 (cosx). dx 999

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Q: Find the derivatives of the functions defined as y = cos (4e2x)

A: Given information: The function is y=cos4e2x. Concept used: Chain rule of…

Q: Find the derivatives of the function defined as follow y = cos5 x

A: To find the derivative of the function, y=cos5x, use the power rule, ddx(xn)=nxn-1 and the chain…

Q: Find the derivatives of the functions s = cos4 (1 - 2t)

A: Given: st=cos41-2t we know that ddxxn=nxn-1…

Q: find the derivative  h(x) = (x + cos^2 x)^8

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Q: Find the derivatives of the functions y = θ3e-2θ cos 5θ

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Q: Find the given derivative by finding the first few derivatives and observing the pattern that occurs…

A: Please see the explanation below

Q: Q3: find the derivative of the following: 1. y = lnx + √1-x² sech-¹x 2. y= sinh-1(tanx)

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Calculate the derivative of the following functions. y = sin2(e3x + 1)

A: Given functions y = sin2(e3x + 1) ddxsin2e3x+1=sin2ddxe3x+1=sin2ddxe3x+ddx1=sin2e3xddx3x+0=sin2e3x·…

Q: Find the derivatives of the functions defined as follows.

A: Given, y=-cos2x+cosπ6

Q: Find the derivative dydx of the lemniscate of Bernoulli given by the equationr2=cos2θ.

A:

Q: sinh x 1+ cosh x

A:

Q: what is the derivative to y=sin 2t - 2 cos 2t

A: The given function is y = sin2t – 2cos2t.Find the derivative of the function as follows.

Q: (d106/dx106)(sin(x))

A:

Q: c) Find the derivative of nh (cosu). Where n is 482

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Q: Q2 find the derivative of the following: 1) y = 2stn (5x) 2) y = Inxn cosh 5x ,3) xsin14y = y tan-4x

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost other parts as…

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

A: By see this solution below

Q: By computing the first few derivatives and looking for a pattern, find g978 (sin x). dx 978 d978…

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Q: Find the derivatives of the functions defined as follows.y = -4 cos(7x2 - 4)

A: The given function is, y=-4cos7x2-4 If a function is the function of some other function as y=fgx,…

Q: d cos 2x – x³ dx 3+ tanh x

A: