Calculate the derivative. y = 5 cosh (x) coth (x) (Give an exact answer. Use symbolic notation and fractions where needed.) y =

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A: y = cos 4 x -  sin 4 x

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A: Given expression

Q: Find the derivative of the function ?

A: To find the derivative of a given function

Q: Find the derivative of the function.

A: We use the chain rule

Q: Find the derivative of the function ?

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Q: ind the derivative of the function: y=2e^x cosx

A: Here use multiplication rule in derivative

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A: Given that y=cos6θ+15 Find dydθ Needed formulae: xn'=nxn-1 cos x'=-sin x ax'=a

Q: Calculate the derivative (implicit derivative): y + 19xy = Cos(7x – 5y) %3D |

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Q: Calculate the derivative of the following functions.

A: Given : The function is y =sin5( cos 3x) .

Q: Calculate the derivative of y with respect to x. Express derivative in terms of sin (y³) (Express…

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Q: Find the derivative of the function  y=(cot x -csc x)-1   dy/dx=

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Q: Find the derivative of the function. y = [x + (x + sin?(x))³]5

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Q: • y= cos(a' + x')

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

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Q: y = esin 2x + sin(e2*) = esin

A: For the detailed solution follow the next step.

Q: compute the derivative

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Q: y = cot (c*) Arc cos (1-2x)²

A: Explained below

Q: Find the derivative of cos (x) + e x

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

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Q: :) x+1 14. y= cos

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Q: 1. a) Find the derivative of the function y = sinx + cosx. %3D b) What is the value of the…

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Q: 2. Find the derivative of (x + 1) /x. 3. Given the equation: y = (eln )?, find y'.

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Q: Find the derivative y = e* (sin x + cos x).

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Q: ■ Find the derivative of the function. Simplify wherepossible.  y = arccos (( b+a cos x)/( a+ bcos…

A: Quotient rule of differentiation:       Chain rule of differentiation:…

Q: Find the derivative of y=cosine-1(7/x) with respect to x.

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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 function. y = cot2(cos(θ))

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

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Q: COS te

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Q: Find the indicated derivative. Then find an equation of the tangent line at the indicated point on…

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Q: Find the derivative y=x^6 cos(x)

A: Given: y=x6cos(x)

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: Find the derivative of the function. f(0) = 3 ln(6)Pe

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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: 7. y = cos(sin(In(æ))

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Q: y = sin x cos x:

A: Using standard trigonometric formula, given function can be converted into standard function

Q: sinh x 1+ cosh 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 function y = (csc x+ cot x)-1.

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Q: 11. In y = e" sin x

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Q: 14. y = a' + cos'r

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Q: Can i get help step by step?

A: Given,

Q: Find the derivative of the function and si - sin?(7x) y 9. y' = ||

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

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Q: Find the first derivative: y=sin( cos x)

A: The given equation is; y = sin( cos x )

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

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Q: y=(ln cot x) V|

A: Given, y =(ln cotx)x   Taking logarithm both sides lny = x (lncotx)          (because lnMp = p *…

Q: Find the second derivative y = x2 + cot'x

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Q: Can i get help step by step please

A: We have to use the power rule because of exponent -1 and then use the chain rule for (cscx-cotx).