The second derivative of the given function is - 5 sin (2- 5x) -125 sin (2 - 5x) 125 sin (2 - 5x) O M K. 25 cos (2 - 5x) -25Cos (2 - 5x) hp

Q: 2х -1 Find the derivatives of the following functions Sin 1+x?

A: the given function is y=sin-12x1+x2

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

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Q: Find the derivative of the function.

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Q: 3. Find the derivative of the following functions using the definition of the sine and cosine…

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Q: The derivative of the given function is cos x sin x

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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: For numbers 11-15 Given the function f(x) = cos(5x), 0<x< 2n 11. Determine the first derivative.

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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: 5cos3(x) Гу 3 sin(3–2x) + tan? (3x? — 4х) — csc(/2x — 1

A: Differentiate y w.r.t x.

Q: 1 3.| y = xSin(x) + (1 – ÷x²) Cos(x) (1-**) Cos(x)

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Q: (b) Find the first 4 derivatives of f (x) =b cos (x), and use the results to find the following…

A: We find the first 4 derivatives.

Q: Find the derivative of the following: 1. y=x(V1- x³ ) 1+x 2. у-. 1-x (x³+5) V4-x² 3. у — x*-x2+6 sin…

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Q: 01) Find the derivative of the following: x2 + 3 y (x – 1)3 + (x + 1)³ 2x2 + tan x f(x) : %3D x2 sec…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Which of the following is not equal to the derivative of y = (cos(x) – sin(æ))?? A 2 (2 sin? (x) –…

A: The given function is y=cosx-sinx2

Q: Solve for the derivative of the given functions using the Chain Rule formula. Suppose f(x) =…

A: Given: f(x)=sin(2x)+17 To find: f'π2 and f'(π)

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

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

Q: 13. Find the derivative of the following functions and simplify the answer: 2x + Va 1y (a' 5x2 - 7…

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Q: 4) a) Determine the simplified expression for the 623rd derivative for the function f(x) =cos(2x)…

A: a)   fx=cos2x+sin2π     =cos2x+0      = cos2x

Q: What is the derivative of tan-1(e2x-1), 2e 2r -1 2e 2x -1 2e 2r -1 (D) 1+ er-2

A: Solution : We have to find out the derivative of the give function tan-1e2x-1

Q: 1. Find the derivative of the following: (Simplify your final answers.) f(x) = ev3(cos²zx) C.

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Q: Find the derivative of each function h(x) = 2x³ In x h(x) = 6e*(1 –- 5x) g(x) = 3 sin x cos x + 2x…

A: Given, The functions  hx = 2x3 lnx  hx = 6ex1-5x  gx = 3sinx cosx +2x  We have to find the…

Q: The derivatives of sin- 1 x and cos- 1 x are negatives of each other.

A: From the question it's not clear, what do you want us to do with it. I assume that you want to know…

Q: The third derivative of y = sin is 1 -sin b) y" = --cos 1 а) у 8. 2 2 c) y" =-8sin d) y" = -8 cos

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Q: Find the derivative of the following. 1. g(x) = cos-1(e5x² +9x) 2. h(r) = 10tan-(5r*+10r²+3r)

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Q: find the derivative of f(x) = cos(sin(4x+7)^4). simplify

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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 second derivative of the function. f(x) = sin(2x?) %3D f "(x) = 16x sin 2x) + 4 cos 22)

A: Given f(x)=sin(2x2) Formula: Derivative of sinx  = cosx Derivative of cosx = -sinx

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

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

Q: 1. Find each derivative. a) y = sin- X c) f(x) = ln- sin x COS X b) y = cos(x² - 2x-8)

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Q: h(x) = (cos x)(4x²– 3)

A: Explanation of the answer is as follows

Q: Which of the following equations is 1011th derivative of h(x) = -5 cos x ? Oh(1011)(x) = -5 sin…

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Q: (b) Find the first 4 derivatives of ƒ (x) = b cos (x), and use the results to find the following…

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

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Q: Solve the second derivative ду? for f(x) = tan-1

A: the given function f(x)=tan-1x2y2to find ∂2f∂y2

Q: The derivative of the function ()100 is equal to Select one: 100 a-100) cos x 99 O b-100( cos x exin…

A: According to our guidelines we are allowed to solve one question. We’ll answer the second question…

Q: Find the second derivative of the function. 9. g(x) = x-1 10. h(x) = sinx = (x)6

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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: find the derivative and simplify the answer sin² (esin t) + cos-{(2t3 – 5)

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Q: -6-X 1.) y = cos -6.x3 y =

A: We have to find the derivative of the function: y=cos-1 -6x3 We know the formula of derivatives,…

Q: The fifth derivative of which of the following provides the result 0? * O x^6 + 3 O x^4 - 3x O x*6 -…

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Q: Solve for the derivative of the Inverse Trigonometric Differentiation.  1.  g(x) = 3 tan -1 (3x)…

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Q: 7. Find the derivative of the given function. Simplify and express the answer using positi exponents…

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Q: Which of the following is the derivative of the equation below? f(x)=cos(x2ex)     a.…

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Q: Solve for the derivative of the following and simplify if possible. f(x) = 2 cos x - 6 sec x + 3

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Q: Find the natural domain and the derivative of the given function. (a) ln(4x + 2) (b) x · cos x (c)…

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Q: What is the derivative of y = 8 cos x? -16 sin x -8 sin x 8 sin x 16 sin x

A: In this question, we need to find the derivative.

Q: Find the first derivative of y=tan? (3x²-4). A) x tan (3x²-4) B 12x tan(3x2-4) sec²(3x²-4) (c) sec?…

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Q: Find the derivative of a. (e(sin2x))/[In(cos2x)]2

A: We have to find out derivative