Differentiate the function. g(x) = In(xe-8x) g'(x) = %3D

Q: 3.) y = log2 – 6·x³

A: Explanation: Given that,  y=log2(-6x3)

Q: Differentiate the following function.   y = ln(x2 + ex)

A: Given function is y=lnx2+ex. To differentiate the function. Solution: Power rule of differentiation…

Q: Find the derivative of the exponential function. Y = x'e-5x dy dx

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Q: 3. Find the first and second derivatives of the function f (x) = e¬²

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Q: Find y' for y = (2(x^2+1))/(x(sqrtx+1)) using logarithmic differentiation

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Q: 1. Find the second derivative of the function. 8(x) = 3\/x + e7*In(x)

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Q: Sketch the graph of the function y=|ln|x||.

A: Given:  Function y=f(x) = |ln|x|| To Find: Graph of function f(x) Concept used: Consider the graph…

Q: 9. [Essay] Find the derivative of y = 3x + 1). За* (x? — Зх + 1). Зах

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Q: 5. Use logarithmic differentiation to find the derivative of these functions. (a) y = /Te* (x² +…

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Q: 5. For y = -ln(x), find the value of x where the slope is a) x = − 6 b) -In(6) d) Does Not Exist

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Q: ln(x+(x2 −16)^(1/2)) Find the domain and the derivative of the function.

A: Given, function is

Q: Find the derivative of the function. y =  e9x − e−9x e9x + e−9x

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Q: Locate the relative extrema of y = ln(x2 + 2x + 3).

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Q: e +e =e**

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Q: log, x2, then y has

A: We will find out the required value.

Q: 16. Use logarithmic differentiation to find y'. (a)= (x2 + 1)tan(=) (b) y = (sin (3z))VE

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Q: Express y as a function of x (constant c is positive). Ln y=3x

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Q: Find the average rate of change of y = log1/2 x over the interval 1 < x < 4. Write your answer as a…

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Q: (x²+3)*/3(3x+2)² Vx+1 Find by logarithmic differentiation for y =

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Q: Differentiate the following function.   y = e2 ln(2x+1)

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

A: Consider the given function.

Q: Differentiate the following function.   y = ln(ex2/x)

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Q: 5. (i). Find the dx for the function y = (tanx)secx* using logarithmic differentiation.

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Q: Find the equation of the line tangent to the graph of f(x) = (In x)? at x= 8.

A: f(x)= (lnx)2

Q: What is the relationship between the functions In r and e?

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Q: Differentiate the following function.   y = ln(ex + 3e-x)

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Q: Find the derivative d (2* log2 x) dx

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Q: ii) y = e**-2x + x²-e

A: We need to find the first derivative of the following y=ex3−2x+x2−e so we we need to find value of…

Q: A radio active element (x) has a half-life of 38 hours. Initially, X = X0 %3D . Determine the amount…

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Q: C) Find the derivative of y= (1+ x²)* D) Find the derivative of f(x) = log3 5x? + 1

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Q: Find y" by implicit differentiation.   x3 + y3 =1

A: We find y' first

Q: Homogenous function dy/dx = y(lny - lnx +1)/x

A: To Determine :-  Homogeneous solution  dydx = y ln y - ln x +1x

Q: Find for implicit equation dx xy -e' = 3x*

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Q: Find y '  by implicit differentiation  2 x 2 + x + xy =1

A: Given expression is  2x2+x+xy=1             (i) Differentiating both sides of (i) w.r.t x,…

Q: 2. Use logarithmic differentiation to find dy/dx. ソミx

A: find the derivative

Q: II. Determine the derivative of the ff. logarithmic functions 4. y = 8 log 6 7x² 5. y = - 5 log 7…

A: Use the chain rule of differentiation to derivate y. Chain rule is used which is as follows- (i)…

Q: (b). Find the second derivative. y=x²-5vx

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Q: Determine whether -log (1 when y = 0. Explain. –T) is a good cost function for logistic regression…

A: We need to find-whether -log 1-11+eθTx is a good cost function for logistic regression when y=0. For…

Q: Find the derivative of the exponential function. y = x2ex − 2xex + 4ex

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Q: y = log,((2x³ – x² + 7)(x² + 4)) %3D -

A: Please see the solution below

Q: differentiate the function: y= 13/ln(x) y'=

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Q: y' of y = *(1-x²)² (1+x²)7 using logarithmic differentiation

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Q: Find the second derivative of the function. f(x) = e−4x + e2x

A: Given query is to find the second derivative fi the expression.

Q: h(x)=83x3+32x2+120x+9 Given the function above, use the First Derivative Test to find the local…

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Q: ■ Find y 2    implicit differentiation.   x4 + y 4= a4

A: Givenx4 + y4 = a4differentiate with respect to x4x3 + 4y3 dydx = 0dydx = -x3y3 — 1Differentiate with…

Q: Find the first derivative y = [ x1/3 (x-5)1/5]/ (3x+7)9      Use logarithmic differentiation

A: Given, y = [ x1/3 (x-5)1/5]/ (3x+7)9     -i) To find: 1st derivative by using logarithmic…

Q: Q(2) Find the derivative of loge[cosh(x)]

A: Derivative of a function

Q: 5. Use logarithmic differentiation to find y' for y = (V)5*, Simplify as much as possible.

A: Giveny=(x)5x To find y'