Differentiate the following function.   y = ln (1/e1x)

Q: Differentiate the following function.   y =ln (x2 + 1) / (2x + 3)

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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: Use logarithmic differentiation y = xx−1  to find dy/dx.

A: Applying natural logarithm on both sides, we get

Q: Differentiate the following function.   y = ln(9x)

A: Consider the following function:      y=ln(9x) Find the derivative of the tunction.

Q: - Which of the following functions grow faster than In x as x→ o0o? Which grow at the same rate as…

A: Derivative of a function determines the change of variable with respect to another variable. Whereas…

Q: Find the derivative of the function h(t) = log5(4 − t)2

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

A: We have given y=e2lnx+1 Then, dydx=ddxe2lnx+1=e2dlnx+1dx=e2×1x+1=e2x+1

Q: Differentiate the following function.   y =  ln -2x + 1

A: Given function is y=ln-2x+1. To differentiate the given function. Solution: Chain rule of…

Q: Find the following higher-order derivatives.

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Q: Find the derivative of the following function. ​[ln(x^8)]3

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Q: What is the value of ln[f'(2)] if f(x) = e^x?

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Q: Use logarithmic differentiation y = x2/x to find dy/dx.

A: Applying natural logarithm on both sides, we get

Q: Which of the following functions grow faster than x2 as x→∞?Which grow at the same rate as x2? Which…

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Q: Find the derivative of the following function. flx) = log.8x

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Q: Find the derivative of y=log e. O a. -1 O b. 0 C. 1 O d. 2.72

A: Let us first simplify the given function and then take derivative y=logex

Q: Find the first derivative of the following functions with respect to x y = In(ln(In x))

A: To find first derivative of the given function.

Q: dy Use Logarithmic Differentiation to find Y = xVT

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Q: Q2) find the derivative of the functions : 10 log4t 1) y = t

A: Given: y=10log4tt To determine: The derivative of the given function.

Q: Differentiate the following functions using logarithmic differentiation y = log√2x + 5

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Q: Differentiate the Following Function   y = ln(x)/x^2

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Q: (v) y = log10(3x² – 5)

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

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Q: Find the derivative of the following function. f (x) = log; 8x

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Q: Which of the following functions grow faster than e" as x→o0? Which grow at the same rate as e"?…

A: (g) Consider the given function as ecosx

Q: In the given question , use logarithmic differentiation to find dy/dx.   y = (1 - x)1/x

A: Consider: y=1-x1/x. Calculate dydx. Take logarithm both sides and apply property: log ab=blog a. log…

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

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Q: ) Find the first derivative: b) y = log7 v1+x

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Q: dy Find using logarithmic differentiation if y = (2a). da

A: here we have to find the differentiation of given function. the solution is following.

Q: Find the derivative of f( x ) = a° log (x + 7.5). f'(x) =

A: We have to solve

Q: Jse Logarithmic Differentiation to find dy/dx for y= 3x(2x+5) (x+1)2

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Q: Differentiate the following function.   y = ln(x6 + 3x4 + 1)

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: Evaluate the derivative of the following function. ƒ1t2= ln 1sin-1 t22

A: Here given Function as ft=lnsin-1t2

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

A: Consider a function y is defined as, y=fxgx The derivative of the function is defined as,…

Q: A. Compute for the derivatives of the following functions using logarithmic differentiation. 2. r(8)…

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Q: Use logarithmic differentiation to find dy/dx for y=5√x-1/x+1

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Q: use logarithmic differentiation to find thederivative of y with respect to the appropriate variable

A: the given expression is: y=2x2+1cos2x we have to use the logarithmic differentiation to find the…

Q: (т3 + 5) e2x /2x – 1

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Q: As picture sho w

A: We need to find the derivatives of the given expression.

Q: y = ln (xm=)

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

Q: Find the derivative of the function. f(t) = t3/2 loge(vt+3)

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Q: y = log6(x)

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Q: Differentiate the following using logarithmic differentiation y = x=

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Q: If y = x*ec{a), find y' using logarithmic differentiation.

A: An equation such as y = f(x) is given. We have to find y' by using logarithmic differentiation. To…

Q: Which of the following functions grow faster than ln x as x→∞?Which grow at the same rate as ln x?…

A: Let f(x)=5ln x       and g(x)=ln x,

Q: Differentiate the following function:R=4*ln*qEnter the derivative here:

A: Calculation:

Q: y = e2x+1

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Q: Find each derivative 1)f(x) = e*+&r+1 2) g(1) = In(?* – \H x*(x7–3)² . 3) y = In(2 Vx+10 ) [Hint…

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Q: dy Use logarithmic differentiation to find dx 2. y = (ln x)ln ×

A: Given, y=ln xlnx   We have to find dydx