Consider the following functions. g(x) = x³ - 7 h(x) = x² + 9 X-7 x² +9 f(x) Find the derivative of each function. g'(x) = h'(x) f'(x) %3D

Q: Find the derivative of the function. y = ln(2 − e5x)

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Q: Find the derivative of the function. f(x) = ln(5+e^x/5-e^x)

A: Use derivative formula :- f(x) = lnx then derivative f'(x) =1/x

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

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

A: Here given Use the formula of product rule of derivatives as

Q: Find the derivative of the function. y = x2 ln x

A: We use the product rule to find the derivative

Q: Find the thousandth derivative of  f(x)  = x e-x

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Q: Find the derivative of the following function. 3x f(x) = e X+5 3x dx -*+5

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Q: What is the first derivative of s(x) = 4e.

A: Given function - s(x) = 4ex-3Differentiating on both sides with respect to x - ddxs(x) =…

Q: y = ln 1-x² 1+x²

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Q: Find the 1300th derivative of  f(x) = xe−x.

A: Given function is f(x)=xe-x       To caculate:- 1300thderivative of f(x)…

Q: y = In- e 2x+1

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Q: Find the derivative of y=ln[x^3(x^2-5)^3/4]

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Q: Find Find the second derivative of the given function. y = In(x² – 1)

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Q: Determine the derivative of f(x)=ln(x√x^2+1).

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Q: Find the derivative of the function. y = (ln x)4

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Q: Find the derivative of the function.

A: Given y=lnx+1x-1

Q: Find the derivative of the function. y = ln√(x2 − 4)

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

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Q: Find the second derivative of the function. 3root(x) + e^(6x)ln(x)

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Q: Find the nth-order derivative of the function y=(3x2−2x)lnx, x>0.

A: Use the product rule

Q: Find the derivative of f (x) = 9ª ln (x).

A: Given: f(x)=9xln(x)

Q: Find the derivative of the function y = ln(9 – e-"). f'(x) =

A: Given that y=ln(9-e-x) To find : Differentiation  y'=f'(x)=ddx(ln(9-e-x))=19-e-xddx(9-e-x)=e-x9-e-x

Q: 3 Find the first derivative of f (x) = 3x e

A: Given that : f(x)= x3 / e3x. Find the first derivative of this function. We know that d(xn)/dx =…

Q: Find the derivative of the following function. y= 4 ln x – In(x-8)

A: we have to derivative

Q: Determine the 3rd derivative of the function y=x3/x+2 at x=−1.

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Q: Find the derivative of the function. y = x2 ln x2

A: Consider the provided question, We have to find the derivative of the given function,

Q: Find the second derivative of the function.

A: Given the function: g(x)=x + ex  ln(x) We have to find the second derivative of the function. Let's…

Q: Find the derivative of the function y = ln 4x / (x − 6)

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Q: 1. Find the first derivative of y: y=x-6x³+2x²

A: Topic = Derivative As per guidelines , At  a time only one question can be answered. please repost…

Q: Find the derivative of the function. f(x) = ln 2x/(x + 3)

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Q: Find the derivative of the function y, below. y = 6x(ln a + In 5) – 8x + e ||

A: Given that y=6x(lnx+ln5)-8x+e To find the derivative of y

Q: Find the derivative of the function. f(x) = ln(x − 1)

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

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Q: Find the second derivative of the function y = x In 2x.

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Q: Find the derivative of the function. f(x) = e In( Vx + 8 f'(x) =

A: Given, f(x) = ex ln(x+8) We have the formulas d(ex)/dx = ex                       ...........(1)…

Q: Find the derivative of the function: f(x)=ln[x^2÷(x+1)^3

A: Formula:

Q: Find the derivative of the function. f(x) = ln(4x)   f '(x) =

A: Given function

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

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Q: Find the derivative of the function g(x) = ln √2x

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Q: Find the derivative of the function. f(x) = ln x/(x2 + 1)

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Q: 1 Find the derivative of the function : ƒ(x ) = V |2x + 3

A: The given function is: f(x)=12x+3 Let, u=2x+3. So, f(u)=1u=u-12 and u=2x+3

Q: Find the nth derivative of the function y=xlnx at x=1.

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Q: Find the derivative of the function. h(x) = ln(2x2 + 1)

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Q: Find the first derivative of x² + 3xy + y3 = 10 implicitly.

A: The given function x2+3xy+y3=10

Q: Find the derivative of the function. h(x) = ets. - x + 1

A: Differentiate w.r.t x

Q: Find the derivative of the function f(x) = 3 ln(x) + e5ª. df = dx

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Q: Find the derivative of the function y = 1/ln(1 − 7x)

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Q: Find the derivative of f(x) = x/ln (x)

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Q: Find the derivative of the function y = ln 5x/(1 − x)

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