Determine the first derivative of the ff. function y = tan(ln(cot(x² + 3 ln 3x)))

Q: e cos e d (Inly)) = ? %3D do Simplity dy= ? de Simplity

A: Explanation of the answer is as follows

Q: y = cos*x – sin*x

A: y = cos 4 x -  sin 4 x

Q: Compute the first and second derivatives of the following functions. s(x) = ln(x²) (use a law of…

A: We use logarithmic properties

Q: 1. Find the derivative of each of the following: (a) y=e2* ln´(cos x) Do not simplify your answer.

A: We have to find the derivative of the function…

Q: Find the derivative of f (y) = 8 tan (y) 4 Enclose arguments of functions, numerators, and…

A: Given,

Q: 1) Find the derivative of the given function with respects to e 3 tan 6 In 3 y

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Q: 1. Find the second derivative of the function. 8(x) = 3\/x + e7*In(x)

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Q: Find the derivative of the function.

A: We use the chain rule

Q: Find the derivative of the following function. f(x)=ln(e2x+3) evaluated at X=ln 4 The value of…

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Q: 5х 6a) Find the derivative using logarithmic differentiation: y = (tan x )x

A: The function is given as y=tanx5x Taking log to the both sides logy=logtanx5xlogy=5xlogtanx…

Q: following

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Q: Determine the first derivative of the ff. function y = ln| le* – 1/

A: We have to find the first derivative of the function: y=lnexex-1 We know the property of logarithm,…

Q: (A) Find an equation of the tangent line to the graph of f(x)=(4x+1)sin(πx) at the point whose…

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Q: 5. Find the 25" derivative of y= In x. 6. Find the 100 derivative of y=e".

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Q: 19. e* +e" = e*+ 20. ye* +xe" =1

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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 derivative of the exponential function. y = e5x tan(5x)

A: given that  y =e5x  tan(5x)  So dy/dx=e5x d/dx(tan 5x)+tan (5x). d/dx(e5x)                 i.e…

Q: e the chain rule to find and simplify the derivative of the function g(x) = cos(sin1(3x)).

A: Solution:- Differentiate with respect to x with the help of chain rule.

Q: ) Find the derivative of y for all functions the following (2) y = 3 log3(log, t), %3D

A: We have given function y=3log8log2t Then, dydt=ddt3log8log2t=3ln8log2t1ln2t=3ln8ln2tlog2t

Q: 6) Find the derivative of the following functions 6.1) a(x) = x²(sin x)(cot x)e" 6.2) b(x) = ()-4

A: To find the derivative of the following functionsFormula:ddx(sin x)=cos xddx(cot x)=-csc2…

Q: Determine whether the following statement is true or false, and explain why. The derivative of ln kx…

A: if y = ln x Then y'=1x

Q: xsinx sec (x)

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Q: Consider the functions f(x) = 2 sin(3.x), g(x) = cos(x²), and h(x) = tan(x³). (a) Find the…

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Q: a) Find first and second derivatives of the following functions: x³ + 7x y=-cot(3t-1)

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Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y =…

A: given y=cos9θ+41

Q: 1) tan x Find the derivative of y= = e

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Q: What is the relationship between the functions In r and e?

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Q: Find the derivative of f(x) = ln (x* /8 – 6x), using the properties of the logarithm. Provide vour…

A: We will find the derivative of the given function f(x)=lnx48-6x by using the properties of logarithm…

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

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Q: 5) Find the derivative of h(e) = tan 50.

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Q: Let f be the function defined for x > 0, with f (e) = 2 and f', the first derivative of f , given by…

A: Given, f be a function defined for x>0 and the derivative of f is f'x=x2lnx Point e, 2

Q: Determine the third derivative of y = In(2x + 3) Determine the third derivative of y = e(-x²/2)

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Q: 2. y = a Cos-1 (1 -2) + V2аx — х2 a

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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 first derivative of the given function. 1.) w=tan2x-csc 2x

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Q: Find the derivative of the given function:

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

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Q: Find the derivative of the function y = cot^-1 x2 – cos^-1 x + 1/x – 2 %3D

A: To find the derivative of: y=cot-1(2x)-cos-1x+1x-2...(1) Note that:…

Q: Determine the derivative of x2 + 2xy + y? = 10 implicitly. Determine the derivative of y sin x = x³…

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Q: Solve for the derivative of the given functions using the Chain Rule formula.Let g(x) = sin (cos…

A: Since, g(x)=sin (cos x)g'(x)=cos (cos x)ddxcos (x)⇒g'(x)=cos (cos x)(-sin (x))ddx(x)⇒g'(x)=-cos (cos…

Q: x d) f(x) = x² sin - R e) f(x) = x+₂ x-2

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Q: For which function f (x) could the given f'(x) be the derivative of? 2x sin x- x cos x a) f'(x) =…

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Q: Find the derivative of f (w) = 6 ln (w) + 15. Enclose arguments of functions, numerators, and…

A: f(w) = 6ln(w) + 15  Differentiating both sides w.r.t x, we get,

Q: Question The derivative of the function y = cos(xln 3) log3(sin x) is:

A: We will find the derivative.

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 with respect to the domain variable for the following functions. 12. i(x)…

A: The given function is:ix=e7xlnx2To find its derivative.

Q: 100 1 The derivative of the function is equal ecos x to

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Q: (a) Find the second derivative of the function y = 2x² sin(x). (b) Find the derivative of the…

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Q: Find the derivative of y=(e^2x)sin(5x)

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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).