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

Q: find the derivative of the function  f(x) = e5x sec x

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Q: Find the derivative of the function.…

A: The given function is hx=x2arctan8x

Q: Find the derivative of function.

A: Find the derivative of function. y=(ln|x+1|)4

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 the function g(x) = x3/e2x

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Q: compute the derivative f (x) = ln(4x2 + 1)

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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: Find the derivative of the function. y = e-2x sin x

A: The derivative of the product of two functions f(x) and g(x) can be determined using the product…

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

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

A: We have to find the derivative of the function -          f(x)=ln(ex+5) Here , we will use the…

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

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Q: Find the derivative of the function g(x) = log3 √(1 − x)

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Q: 14. f(x) = 2 +3cos x

A: using basic properties and application of derivation we will solve this question.

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

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

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

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Q: Find the derivative. [미 In dx x +3 x-3

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Q: 1. Find the derivative of the function f (x) = e2x + 5* + x3

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

A: h(x)=x2tan-1(x)

Q: find the first and second derivatives of f(x) = ln (x+1)

A: f'(x)=1x+1 and  f''(x)=-1(x+1)2

Q: find the derivative of ln(3x^2+e^x)

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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 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: 1. x² - 2xy + y² − 6x + 2 = 0

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Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = x4/4 ln x - x4/16

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Q: Find the derivative of the function. y= log 4- x

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Q: Find the derivative of the function.

A: To find derivative of the function y=e2xe2x+1. Solution: Quotient rule of differentiation states…

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

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Q: Find the derivative of the function. h(e)- (-1) ( 1) +]

A: Given ht=t4-15t3+16

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

A: Given function is

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[x^2÷(x+1)^3

A: Formula:

Q: Find the derivative of the function. f(x) = ln(8x + 9)

A: Given, f(x) = ln(8x + 9)  We have to find the derivative of the function.

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

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Q: Determine the 8th derivative of y with respect to x of the function : f(x) = 1 / 1 + x2 and find the…

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

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Q: Find the derivative of f(x) = 4e 3x + e -x^2 f(x)= ?

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

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Q: What is the first derivative of g(x) = ln #*+1? x2

A: Derivative of ln(x):       ddx(ln(x))=1x Division rule of derivative:-…

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

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Q: Find the derivative of the function. y = e* In x

A: Find the derivative use product rule

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

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

A: Differentiate w.r.t x

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 the function. f(x) = e-4x

A: The given function is:fx=e-4x

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

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Q: Find the first derivative of v with respect to x

A: Given,