- y = x In(x) Y =

Q: 3. (a) Use logarithmic differentiation to show why the derivative of a is a In a, where a is a real…

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Q: Derivatives of logarithmic functions Calculate the derivative of the following functions

A: Given function is y = log8tan x. From Property of logarithm, we have loga b  = ln bln a Therefore,…

Q: 2 Example 36: Find the derivative of log, x by ab-initio method. A Example 36: Find the derivative…

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Q: *ey² = -x x° + y at (1,0)

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Q: Logarithmic

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Q: Logarithmic differentiation Use logarithmic differentiation to evaluate f 1x2.

A: Logarithmic differentiation is defined as differentiating function by first taking logarithm and…

Q: 1. Logarithmic differentiation. Compute the derivative of each function using logarithmic…

A: Given is the function f(x)=x4(1-2x)x3+2 Take log on both sides of the given function. Then use the…

Q: f(g(x)) = (3x² f (g(x)) = (x)(x² +3)² (За* — 2х + 4)°

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Q: Derivatives of logarithmic functions Calculate the derivative of the following functions

A: To find: The derivative of y=1log4x. Concept used: Logarithmic power rule: ln ab=b·ln a Chain rule…

Q: Derivatives of logarithmic functions Calculate the derivative of the following functions

A: y=4 log3x2-1

Q: estion: Find the derivative of the following 1. function: y = In vtan x

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Q: INVERSE TRIGONOMETRIC FUNCTIONS: Find the first derivative of the  given function.

A: Since multiple questions are asked , I am answering the first question

Q: Logarithmic Differentiation. Determine the derivative of the following functions.

A: f(x) = 2-csch(2x). (ln x)x Now we use chain rule (uv)' = uv' + vu' put v = (ln x)x        ln v = x.…

Q: Using Gamma function evaluate xe-3x dx.

A: Given integral is ∫0∞x6e-3xdx. To evaluate the value of integral using gamma function. Formula used:…

Q: Logarithmic differentiation Use logarithmic differentiation to evaluate f 1x2.

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

Q: DERIVATIVE OF INVERSE FUNCTION. x + 2 Let f(x) 1- x • Show that the function is one to one 1 • Find…

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Q: Use logarithmic differentiation to find the derivative of the function. y = square root of (x-5…

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Q: Derivatives of logarithmic functions Calculate the derivative of the following functions

A: y=log2(log2x)

Q: 1. f(x) = Vx

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Derivatives with exponentials Compute the derivative of the following functions.

A: Given: gx=xe3x

Q: 5 real-life mention of a derivative

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Q: Logarithmic differentiation Use logarithmic differentiation to evaluate f 1x2.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Using the definition of a derivative to find the derivative of each function: f(x)=1/(square root…

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Q: calculus:

A: we have to find the derivative of the given function f(x). f(x)=7log5(x5-9x)

Q: Comparing Graphs of Derivative Functions Date Given the graph of f(x), sketch an approximate graph…

A: Given graph of function f(x)

Q: Using properties for Logarithmic function, Only Simplify without differentiation the following…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Finding derivative of the function f(x) = cx". a Derivative Explain how to find the

A: given,         fx=cxn

Q: Composition of three functions Calculate the derivative of sin (ecos x).

A: The given function is sinecosx.

Q: Logarithmic differentiation Use logarithmic differentiation to evaluate f 1x2.

A: We need to differentiate the function, f(x)=1+1x2x

Q: th Determine an expression for f(") (x) (the n' derivative of f) if f (x) = x¯' (Hint: take a few…

A: Let's find.

Q: Derivative of a tower function Evaluate the derivative of ƒ(x) = x2x.

A: Given function is fx=x2x. Simplify the above function. fx=x2x=e2xlnx    ax=exlna

Q: 10. g (2) = z²[3 + z]* %3D

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Q: Derivatives of logarithmic functions Calculate the derivative of the following functions. In some…

A: Derivative: y=log8|tanx| logab=lnblnay=log8|tanx|  =ln(tanx)ln8

Q: Logarithmic differentiation Use logarithmic differentiation to evaluate f 1x2.

A: Logarithmic differentiation is method of computing derivative of a function where before…

Q: 3. f(x) = (tanh(sin-1 x))2*

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Q: detinition of derivative, f'(x) = f(x+h)-f(x) lim x+h)-/(x) h-0 h 4. Find the derivative of f(x) =…

A: # we  are entitled to solve one question at a time , please resubmit the other question if you wish…

Q: Derivatives of logarithmic functions Calculate the derivative of the following functions. In some…

A: Given function is y=log10x. From Property of logarithm, we have logab=lnblna Therefore, given…

Q: Differentiating Exponential Functions Find the derivative of the function. ex + 9 f(x) ex - 9

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Q: Linear approximation Find the linear approximation to ƒ(x) = cosh x at a = ln 3 and then use it to…

A: Our Aim is to find the linear approximation to f(x) = cosh x at a= ln 3and then by carrying forward…

Q: Derivatives of logarithmic functions Calculate the derivative of the following functions. In some…

A: Given- y=1log4x To find- The derivative of the above expression. Identity Used- logmn=loganlogam

Q: 3. y = cot(x + 2) cosh(x + 2)

A: Given: y=cot(x+2) cosh(x+2)                                  Here, cosh(x+2) is hyperbolic function…

Q: II. Derivatives 3) Find the derivative of f(x) = 4eVxº-2 . (Remember to use your exponential…

A: Using chain rule of derivatives.

Q: sech j(r) = e

A: We know that derivatives of sechx is  d(sechx)/dx = -sechx.tanhx   Here i attached the solution of…

Q: Finding an equation of tangent line to the graph ln(xy) - x2+y2=0 at (1,1)

A: To find equation of tangent line to the graph of below curve at (1,1).

Q: Logarithmic differentiation Use logarithmic differentiation evaluate f'1x2. to tanº x f1x2 15x + 326

A: To evaluate the function, fx=tan10x15x+326 using logarithmic differentiation. Solution: The give…

Q: Logarithmic differentiation Use logarithmic differentiation to evaluate f'1x2. cos³ x x° f1x2 Vx - 1

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Q: Derivative of y = |x| Graph the derivative of f(x) = |x|. Then graph y = (\x| – 0)/(x – 0) = |x|/x.…

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Q: A. Find the derivative of the given function at a given number 1. y 3x-2 at f'(1) *Derivative of…

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Q: DIFFERENTIATION OF INVERSE TRIGONOMETRIC FUNCTIONS 3.) y'of y = In x+1 by logarithmic…

A: Differentiation