derivative

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 function. y = ln(x4 + 5x2)3/2

A: This question comes under the concept of Derivation. This question can be solved using the chain…

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 function. y = ln(2 - 5x)

A: we have to find the derivative of y = ln(2 - 5x)

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

A: We use the product rule to find the derivative

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: 1 Find the derivative of f(x) = 2x + 3

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Q: Find the derivative of the function: f(x)=e^-2x - e^2x

A: To find derivative of function.

Q: Find the derivative of the function x +5 g(x) = 2, X +6x

A: Given function is, g(x)=x2+5x2+6x  Quotient rule of derivatives is, If f(x) and k(x) are functions…

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

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

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

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Q: Find the derivative of f(x) = e-2 / x^2

A: Consider the function fx=e-2x2 Here, the objective is to find the derivative of the function.

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

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

Q: y = x*(1 – In x4)

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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: Find the second derivative of the function. f(x) = e-x3/3

A: Given:fx=e-x33Differentiation formula:ddxex=ex.1

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

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Q: FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM 3. y = ln (x3(x-1)/(x-2)2)

A: using the properties of log lnmn=lnm-lnnlnmn=lnn+lnmlnmn=nlnm As per our guidelines we are supposed…

Q: Find the derivative of the function: f(x)=ln x^2(x-3)^3÷(x+1)^4

A: To determine the derivative of given function.

Q: Find the derivative of the function. 10 f(x) = 3 + 2cos x

A: Recall: dxndx=n xn-1 d(cos ax)dx= a(- sin ax) dc1f(x)±c2 g(x) dx= c1d[f(x)]dx± c2d[g(x)]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: Find the derivative of the function y = ln 4x / (x − 6)

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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. f(x) = ln(x2 + 1)2

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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) = 4 3√x + 2cos x

A: The given function is ; f(x)=4/3sqrt(x) +2Cosx.

Q: Find the derivative of g(x) = ln(2x + 5)

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Q: 1 Find the derivative of f(x) 2x + 3

A: Since we have to find the derivative of f(x)=12x+33, so ddx(f(x))=ddx1(3+2x)3 -(i)By using the chain…

Q: Find the derivative of the function g(x) = (3x² + 3x)e" = (æ),6

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

A: Formula:

Q: Find the first derivative of f(x) =x3/e3x

A: Given : fx = x3e3x

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: 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 -3x f(x) = e¯* + e2x - e %3D

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Q: Find the derivative of y with respect to x    y=ln(x-7)

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Q: Find the derivative of the function   f(x)=ln(x3(2x+1)/x^2−3)

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

A: Given function is,

Q: Find all possible functions with the given derivative. = రx = 1x 2x

A: The answer is given below

Q: Find the second derivative. f(x) = (5 + 4x)e−3x   f''(x) = ?

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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 f(x) = x/ln (x)

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Q: Find the derivative of the function g(x) 4+ 2x = (x),6

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

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