Use the guidlines to sketch the graph of the function  y=1/x + ln x

Q: If y = xtan (a), find y' by using logarithmic differentiation.

A: Important logarithmic property: ln(xn) = n*ln(x)

Q: Differentiate the following function.   y = ex ln x

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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: let f(x)= x^5x where x>0. use logarithmic differentiaiton to find f'(x)

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

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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: Sketch the graph of the function by plotting points. g(x) = 1 + log x

A: g(x)=1+log x

Q: Use logarithmic function to find dy/dx, if y=(x^2+5)^sin (2x)

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Q: Without using a graphing calculator, how can I show the function 1-ln(y )= z in a graph and its…

A: Without using a graphing calculator,  Show the function zx,y=1-lny in the graph and its traces.

Q: Find the equation of the vertical asymptote f(x) = log(x – 1)

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Q: Evaluate the limit or derivative using properties of logarithms where x3 needed. dx x5+1

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Q: Make a complete graph of the following function. ƒ(x) = x ln x

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Q: Find the deri vative OF +he exponential function: y = arcsin e*

A: Given function - y = sin-1e-xDifferentiating on both sides with respect to x - dydx =…

Q: State the main features of the graph of y = ln x.

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Q: Evaluate by constructing table of values. Provide three x values. lim (log x) X-2 O-1 0. DNE 1

A: Given : lim x tends to 2 (log x)

Q: Use logarithmic differentiation to find the dy/dx of the following (given attached as a photo):

A: We will find out the required value.

Q: )=1/x. Using this, compute the

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Q: Mce logarithmic differentiation to find dy dx (x-5)4

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Q: xsinx sec (x)

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

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Q: Evaluate the derivative. * d (log10 (x)) dx (In(10)) O Option 1

A: we have to find the derivative

Q: . Find the derivative of the following exponential and logarithmic functions: (a) (i) ecosx-sinx…

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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: Find the derivative of f(x) = ln (x* /8 – 6x), using the properties of the logarithm. Provide vour…

A: We will find the derivative of the given function f(x)=lnx48-6x by using the properties of logarithm…

Q: Find the slope of the tangent line to the exponential function at the point  (0, 1). y = ex/3

A: Slope of tangent line is derivative of the given function at that point.

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

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Q: dy Find Use logarithmic differentiation whenever appropriate. dx (1+x – x²)³ - sec 4x (x – log x)6

A: We will use logarithmic differentiation to solve this question.

Q: Based on the data for the year of 1910 to 2007, the expected lifespan of people and country a can be…

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Q: find the deliva tiva dy for the function by using logarithmic

A: Derivative.

Q: Use log differentiation. y = (cosx)lnx

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Q: 3. Use logarithmic differentiation to find y'; and simplify the result to a "single fraction". x2…

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Q: X In Зх +1 y y' X

A: Given ; ln(x2/(3x+1))=y/x.

Q: Find dx by logarithnic differentiation. (3x-2)(x"+3)

A: d(logx)/dx = 1/x

Q: Find the derivative f'(x) if f(x) = log 3x² A. (2/x) log 3x B. (2/x) log e C. (3/x) log 3x D. (3/x)…

A: Solution

Q: Find the derivative of the logarithmic function. y = In Isec x + tan x|

A: We have to find the derivative

Q: Find the derivative of the following exponential and logarithmic functions: (i) ecosx-sinx ii. In(3x…

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Q: Calculate 00 exp(-)dx. Note that exp() here is the exponential fun

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Q: Sketch the graph of the function by plotting points. f(x) = 2 log x

A: f(x)=2logx

Q: se logrithmic differentiation. y=(sqrtx)^7x

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Q: hp Use logarithmic differentiation whenever appropriate. Find da. y = (log4 x)evª

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Q: Find the derivative of the following exponential and logarithmic functions: (a) (i) ecosx-sinx (ii)…

A: Differenciate with respect to x        As per our guidelines we are supposed to answer only first…

Q: Sketch the graph of the function f(x) = −2 ln x and state its domain.

A: Consider the provided function, fx=-2lnx Sketch the graph of the function and state its domain. The…

Q: find the second derivative and simplify the final result 8. y= log [the square root of (x-1)/(x+1)]

A: We need to find the second derivative of y=logx-1x+1 We will use the chain rule to find the…

Q: 2. Consider the logarithm function ln : (0,00) → R. Decide whether this function is injective and…

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Q: Use logarithmic differentiation for find for y = (x-12)² dx x-8

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Q: Sketch the graph of ƒ(x) = ln | x | and explain how the graphshows that ƒ′(x) = 1/x.

A: Solution: Consider the given function is  f(x) = ln x we have the graph of the given function is we…

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

A: Giveny=(x)5x To find y'

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: