Find the derivative of g(x) = (cos(8x))3

Q: Find the derivative of f(x) = COS 4 log3 (x²) os(5x)

A: Explanation of the answer is as follows

Q: i. y= ) In (x+3

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Q: Find the second derivative for the functions defined as follows g(x) = 4x(ln x)

A: We have to find second derivative of the function: gx=4x lnx Since two function are in product so we…

Q: Find the derivative of y = cos"+8 (x).

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Q: Find the derivative of the function. f(x) = ln 3x

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Q: Find the derivative of y=ln^3(tan^-1x)

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Q: Find the derivative of f(x)=ln(x^3-x+2)

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Q: calculate the derivative with respect to x. ln(x2 + y2) = x + 4

A: Given function lnx2+y2=x+4 Differentiate the above function w.r.t 'x' ddxlnx2+y2=ddxx+4…

Q: Calculate the derivative of y = cos(x 3).

A: Given y=cos(x3) we need to find the derivative of y.

Q: Find the derivative of k(x) = log3(x) cos

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Q: Find the derivative of the function. y = In(x8)

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Q: y = In- e 2x+1

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Q: Find the first and second derivative of any function defined implicitly by yx2+ y2= x

A: Given,           yx2+y2=x

Q: Find the derivative of the function. h(x) = x2 arctan(5x)

A: Given function: hx=x2tan-15x Differentiate the above function w.r.t "X" h'x=ddxx2tan-15x

Q: Find the indicated derivative of the function. for y = -4 cos X dx4

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Q: Find the derivative of y=. =x²- 1 2 COS X

A: Given,  y=x2-12cos x

Q: Find the derivative of y=sinh-17x

A: Given:y=sinh-17xHyperbolic Identity:cosh2x-sinh2x=1Differntiation formula:ddxsinx=cosx

Q: Find the second derivative of f(x) * f(x) = cos² 7x

A: The given function is: fx=cos27x   As we know that; The Chain Rule: fgx'=f'gx·g'x The Product Rule:…

Q: 8. Find the derivative of the function. y= In(1+x)

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Q: 2. Find the derivative of g(x) = 2x sin x.

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Q: Find the most general anti-derivative of f(x) = 9Vx +1+ cos x.

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Q: Find the derivative of y with respect to x.

A: Assume z=x^5+1. Then found derivative dy/dx using the chain rule.

Q: find the derivative for  h(x) = 3e ^ -x * ln(2x+1)

A: Using product rule of derivative In order to solve the given problem.

Q: Find the derivative of y= ln (6X^2+3X)^3/(7X-2)

A: Topic-Derivative

Q: 3. Find the derivative of y = csc" (sec x), 0<x< 2n.

A: Given ddx(arccsc(sec(x))Let sec(x)=uWe know that ddx(cosec-1…

Q: Find the derivative: 1+ e2x = cos 1 - e6x f(x) f'(x) =

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Q: Find the derivative of the function.

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Q: Find the derivative of the function  f(x)= e^-3x ln x

A: Given function is

Q: Find the derivative of the function y=cos(3 In x).

A: Given y=cos(3lnx)

Q: Find derivative of y=cos(7x).

A: The given function is

Q: Find the derivative of the function. f(x) = ln(x2 + 3)

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Q: The derivative of y = -ln(cos(ex + 1)) is

A: Our Aim is to find the derivative of y=- ln cos ex+1 -(i)

Q: Find the derivative of the function

A: We have to find the derivatives of the function: y=x tan-12x-14ln1+4x2 If two functions are in…

Q: Find the 50th derivative of y = cos(3x)

A: Zeroth derivative y = cos(3x)First derivativey' = -3sin(3x)Second derivativey''=-9cos(3x)

Q: Find the derivative of the function.   y = In(x)/x9

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Q: Find the derivative of h(x) = sin2x

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Q: Find the 85th derivative of y = cos(3x).

A: Do the derivative many times and observe the pattern that derivative follows. Generalized it and…

Q: Find the derivative of g(x) = e-" cos(x²)

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Q: Find the derivative of -3x f(x) = e¯* + e2x - e %3D

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Q: Find the derivative of y=cos-1 (19x)

A: Consider the given function, y=cos-119x it can be written as, cosy=19x

Q: Compute the derivative for y= (e^-4x sin^2(x)) / (x^2 + 3x + 1)

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Q: Find the derivative of f (x) =arcoth (e³" ).

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Q: -5

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Q: Find the derivative of the function. h(x) = x² arctan(8x)

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Q: Find the second derivative of y=x-1 at x=2

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Q: Find the derivative of V(x) = ln(sin x) – (x4 – 3x)10

A: We can find the derivative as below.

Q: Find the derivative of f(x)= ln x^2/x^2+1

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Q: Find the derivative of f(x) = 3/x ln(x), f' (æ) =

A: Chufu