Find the derivative of the function. t(x) =  8x + 2x2/x   t'(x) =

Q: Find the derivative of the function  y = ln (8x3-x2)

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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:  y = ln (8x^3 – 2x) – 2x

A: According to the chain rule of differentiation if fx and gx is the differentiable function then,…

Q: Find the derivative. y= 5x e -x

A: Given :             y = 5x2e-x To Find :                  To find the derivative

Q: Find the derivative.

A:

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

A: We use the product rule to find the derivative

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

A: Given the  y = ( ln x)^4 We need to find the first derivative . Therefore differentiate to given…

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

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Q: x + x dx x2

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

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Q: X-3

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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 ln(2x2)+ln(2x)+1/3 where x=1

A: Given,           The derivative of  ln2x2+ln2x+13 where x=1

Q: (x) = ,2x+1

A: Explanation and solutions is given below....

Q: how do you find the second derivative of f(x)=ln(x)?

A: on differentiation we get

Q: Find the derivative: ln ((x+1)/(2x-1))^(2)

A: First simplify the expression using properties of lograthim than take derivative.

Q: 2. Find the derivative of g(x) = 2x sin x.

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Q: Find the derivative of function. y = ln(5x3 - 2x)3/2

A: To find: The derivative of y=ln5x3-2x32. Formula used: Logarithmic power rule: ln ab=b·ln a Chain…

Q: Find the derivative of the function.

A: Given function is hx=x+5x2+32 We have to find derivative of given function. To find derivative of…

Q: Find the derivative: y = ln(24) 2x-4 O 4x-x² 2x-4 x²-4x 4 4x-x² 4 x²-4x O о O 8

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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 y= ln (6X^2+3X)^3/(7X-2)

A: Topic-Derivative

Q: Find the first derivative of = (ln x)* 4 y

A: From the given function; y=lnx4 We know that; The Power law: ddxxn=nxn-1 The chain rule:…

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

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Q: 3x y = .3 х +3x

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

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Q: Find 1st and 2nd derivative of:   f(x)=(5x^4 + 3x^2)*ln(x^2)

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Q: Find the derivative of the function. y = ln(4x2 − x) + 3x

A: To the derivative of the function. y = ln(4x2 − x) + 3x

Q: Find the second derivative of the function. g(x) = √x + ex ln x

A: Consider the given function gx=x+ex lnx Now, differentiate the given function with respect to x…

Q: Find the derivative y=ln(2x^3+6x-1)^3

A: y=ln2x3+6x-13 take derivative y'=ddxln2x3+6x-13 y'=12x3+6x-13ddx2x3+6x-13

Q: 4 Find the first derivative of y = In X +

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Q: Find the derivative of x²e*.

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Q: Find the derivative   Y=ln(4+X^2 )

A: The given function is,

Q: What is the derivative of the function  x^8(ln(x)), and what can I substitute for x to make the…

A: We have to find derivative dy/dx and point where dy/dx =0y is given below:

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

A: Given : fx = x3e3x

Q: Find the derivative. y =(ln(ln x))3

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

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Q: Find derivative of: h(x) = ln(2sec(x))

A: topic - derivative of a function  derivative of: h(x) = ln(2sec(x)) is tan x

Q: Find the indicated derivative. dz x2 for z = x2 - dx 1- x - 5x2

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Q: the Chain Rule.

A: Given: y=11-x46. Let, u=1-x4 By chain rule, the derivative of y with respect to x is given as,…

Q: Find the derivative of ƒ(z) = ln2x 1. 2z

A: We first expand using the addition property of log.

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

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Q: Shows the derivative function of: x³  + ln x(3x² + 5)

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Q: What is the derivative of the function  x^8(ln(x))?

A: To find the derivative of the function x8(ln(x)) as follows.Redefine the function as follows.

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

A: Given function is,

Q: Find the first derivative of:   f(x) = ln [(5x+2)1/2 / csc(x)]

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

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

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