find the second derivative and simplify the final result. 3. 4ln(Arctan x) = 1-y

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A: Determine the derivative for f(x). fx=lnx5f'x=ddxlnx5=ddx5lnx5×ddxx5=1x5×5x4=5xSo, f'x=5x

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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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A: Some of the properties of derivative ddx(uv)=udvdx+vdudx ddxxn=nxn-1…

Q: g. y = Arctan (e*)

A: The solution of the problem is given in the next step.

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Q: 3. Find the derivative of the function, and do your best to simplify the result. [P372]| arcsin 3r…

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Q: (х? + 2х + 3)(5—х) 10. g(x)= Зх + 2

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Q: A2) Find the derivative of the following functions: L tanz (d). g(z) 3 - secz

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A: Using given formula then solve it.

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Q: 7T Find the derivative of f(x) = 2 cos (x) +9 sin (x) at the point z = Provide your answer below:

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Q: 3. 4ln(Arctan x) = 1- y

A: To find out the double derivative.

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Q: Can you help me step by step with this problem?

A: Firstly, we set cscx+cotx=u, then y=u^-1 and then we find derivatives  dy/du and du/dx

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Q: Find the 149th derivative of (1 + x°)¨ at x 25 =D0 Question Help: M Message instructor Add Work…

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Q: II Find the second derivative(y") of the following functions and simplify the final results. 1.…

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Q: 1. Find the derivative the following functions y=-10x+ cosx y=x'sinx

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Q: Solve the problems below: 1. Find the 25 derivative of y=x. 2. Find the nth order derivative of the…

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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…

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Q: 3. State the slope of the tangent to y = ln (2x + 1) at x = 1 a) = b) = - In3 d) In3

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Q: 3 5.) y = ; x+5

A: Given:- y = 3/(x+5) y = 3(x+5)-1 Using Formula : [f(x)g(x)]' = f(x)g(x)' + g(x)f(x)' Now, y' =…

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Q: Q2. a) Find the 5th derivative of xʻsin4x (hint: it is simplest to use Liebnitz's theorem)

A: We are authorized to answer one question at a time, since you have not mentioned which question you…