Logz dz = 0. z-21=1 :Select one True False Clear my choice

Q: dy (x² + 1)? if y = 2) Find dx (x² – 1)³ a) without the aid of logarithmic properties b) using…

A: Here we have to find the the derivative of y

Q: Show that : log (1+ x) 1+x? dx = log 2 8

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Q: Q5. (Log,3)= a); xin & Cost (1 ²)dt

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Q: se logarithmic aifferenti ion to find ay/dx. LD o not simplify the esuit. (6x + 1)2 y = 1)3

A:

Q: Find y^1 if y = log(cot x)

A: Given y = log(cot x)

Q: s) Use the properties of logarithms to find dx y = In 4] sin' (3x) 5* √√x² +1

A: We can solve the derivative of 'y' as below.

Q: d) log, V5 e) log, () f) log, a

A:

Q: = (5+ cx*)** y=(5+6x*) (tan(7x)° 312 hint log.differentiat use %3D

A: logab=bloga ddxtan2ax=a sec2 ax

Q: snip

A: The exponential function and the logarithmic function is strictly increasing functions for x > 0.…

Q: (x² + 1)? dy if y Find dx (x² – 1)³ a) without the aid of logarithmic properties b) using…

A:

Q: Differentiate the function

A: Before we get into solving the question, let's look at the two derivtives shown on the white…

Q: Differentiate g (†) = 4 log, ( t ) – In ( t )

A: Given g(t)= 4log3(t)-ln(t) Now we have to differentiate g(t) as shown below

Q: d Find (3"). Type In(x) for the natural logarithmic dx function.

A: we have to find the derivative of 3x

Q: Express the following logarithms in terms of ln 2 and ln 3

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Q: Q7. Differentiate with respect to x: (a) log (x), *). cOS X

A: 7(a) Given- logcosxsinx To find- The derivative of the above expression with respect to x. Identity…

Q: The Richter scale measures the magnitude of an earthquake by comparing the amplitude of the seismic…

A:

Q: Determine y′(x) if y(x)=(4x^3+6)^sinx.  Enter an exact answer in terms of a natural logarithm.

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Q: y = (1 – x³)(log2x)(cot²x)

A:

Q: True or False If y= logax , then y=ax.

A: The given statement is y=logax , then y=ax.we have to find it is true or false.

Q: log (x2) - log(v9) + log(z4) condensed into a single logarithm is expressed as log() Select one: O…

A: Expression is given by logx2 - logy + logz4 To evaluate : Single logarithmic expression.

Q: cos e Differentiate y =- using Logarithmic differentitation. nxV2x +1

A:

Q: sin³ (x)(2x+5)6 Find y' if y = Text=s) log,(2x)' -5

A: We have to find derivative of the given function

Q: [E] Prove with usual notations that (i) hD = log(1 +A) = – log(1 – V) = sinh '(u8)

A: We will prove the following result.

Q: (b) 5" (2 – cot 5")(1 – csc 5“) dx SC 11 – 2 log x (c) / dx JIV6 log r – logʻ 1 x/6 log x -

A: You have asked Only part b and c

Q: The field metabolic rate (FMR), that is the total energy expenditure per day in excess of growth,…

A: Given the total energy expenditure per day in excess of growth for a pronghorn fawn is F(x) = 0.751…

Q: 2 log , x + 12log, y

A:

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

A: Derivative.

Q: log, (2) – loga(z + 4) = 5

A: We will solve the problem

Q: Use differentials to approximate the value of Jog 99. 198 – log e 99 200 – log e 100 O 200 – 2log e…

A: Given that: log99

Q: A Disguised Form of the log Rule, Find

A:

Q: II. Determine the derivative of the ff. logarithmic functions 1. y = 25 In 5x 2. y = -10 In 3x4 3. у…

A:

Q: Sind dx/dy if ys log Vitx? 14

A: Given: y=logx1+x2+logx1-x214. So,         dydx=ddxlogx1+x2+logx1-x214…

Q: Q1:B. Find the solution for x: log (væ+1+1) 3 log Vr – 40

A:

Q: Solution to the equation Log(2iz + 1) = in is None of them z = ni z = i

A: Usually, log x is represented as log10x . If log x=y , then x=10y .  The natural logarithm, ln x is…

Q: b. y= tan(7x-3)•log 4(5 + 2x) use the Product rule (3)

A: We use product rule of derivative :d/dx(uv)=ud/dx(v)+vd/dx(u). See 2nd step.

Q: b. (3e* C. z? – 2z = log(-2), Calculate the value/s of z

A:

Q: Differentiate the function T(z) = 2z log2 z.

A: The given function is,

Q: dx 1+ax log 1-ax Evaluate x1-x

A:

Q: 4.) Find y': Given:y = x²(3 cosh x - 1) 5.) Find y': Given: y = log, csc h (6x³)

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Q: 3 y = log ( cos DIFFERENTIATE THE GIVEN:

A: The detailed solution is given below Thank you

Q: (b) Find the value of x: log ; x - log ; Vx = log 9- log ; 3

A: Basic concepts: remember these properties:

Q: f (x) = ex ln(5x) - ex^3 +2 + log(e2x^2), find f '(3)

A: The given expression is f(x)=exln(5x)-ex3+2+log(e2x2).

Q: Find the value(s) of x for which the equation is true. log(x + 2) = log(x) + log(2) X =

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Q: b) Given that log, (y-1)+log,|| |= z and log, (y+1)+log, x = z-1, Show that y? =1+8² and find the…

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Q: Vx²-1•sin x y%3= %3D (2x+3)4

A: To find: The derivative of y=x2-1·sinx2x+34 using logarithmic function. Formula used: The derivative…

Q: Sind dix/dy ifLys loge vitx? 4.

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Q: log 4z a tall var I

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Q: T + log, (V27 - 2") sin 24-1 + log, (log; (915) + п1+(-1)17 + 1) + (-1)5 + (-1)27 (-1)766 25 – 24 –…

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Q: t(z)= 2z log2z  , t '(z)?

A: