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

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

A: Find the derivative

Q: dx ·S (x+1) log(x+1) Evaluate:

A: Given that,

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

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Q: [tan*dog a) * dx x) x(1+log?: tan (log x) 8. 2

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Q: dy et y = (x³ – 18x)m(=). Find using the method of logarithmic dx - ifferentiation. Express your…

A: Topic:- derivatives

Q: 3. Algebraically rewrite the following equation using properties of logarithms and inverse…

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Q: How is the logarithmic function y = log a x defined?

A: To define the given logarithmic function.

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

A: logab=bloga ddxtan2ax=a sec2 ax

Q: Find derivative for the following exponential function at x = 0 O -5 e O -5/e O 5e O 5/e

A:

Q: dx 1. х2 — 1

A: Given: Let I=∫xx2-1 dx To Find: To evaluate the given integration.

Q: log3(x) dx

A: Given integral is ∫ 3x2+log3xdx. Consider u= 3x2.

Q: Q:: Find for the following functions: - dx 2) y = (Inx + x)tan(x) (By use logarithm)

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

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Q: ind the derivative of the given exponential and logarithmic functions. 11. y = e-2x²+1 12. A(x) =…

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Q: dy Use the properties of logarithms to help perform dx COs x y = ln 3 – 5x2 - dy dx ||

A: As we know that ddxlnx=1x

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

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Q: Find , given y = log(ev+x²). dy dx

A: Given y=logex+x2  We find dydx The differentiation formula of logarithm is ddxlnx=1x and the power…

Q: Find and simplify whenever possible. dx y = log10(x² + 1)² ||

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Q: d (7*). Type In(x) for the natural logarithmic dx Find function.

A: To solve this problem we use here the formula of Derivatives. This is. d(ax)/dx=a^x . ln(a).

Q: By using natural logarithm (ln), find dy/dx for this equation, 384=(x+2)3/4(y+3)1/3.

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Q: [32x + log (x) dx = %3D

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Q: Q1: A) Find for the folowing function : Y = log2(3X² + 1) ³ %3D dx

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Q: y = log (4x°)

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

Q: Given a E R*, a + 1, (loga æ) dx x In a O True False

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Q: 5x – 4 Find the derivative of f(x) = In using the properties of the logarithm. За + 7

A: Properties of logarithm:   1. ln(A/B) = ln(A) - ln(B) 2. ln(xn) = n*ln(x)

Q: What happens to the rate of change of the logarithmic function y = loga x as a becomes larger?

A: What happens to the rate of change of the logarithmic function y = loga x as a becomes larger?…

Q: dy Find by first using algebraic properties of the natural logarithm dx (x+ 4)(x + 5)° In function…

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

A: Derivative.

Q: find dy if by using logarithmic

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Q: y = log( cos

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Q: e: Sz dx (x+1) log(x+1)

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

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

Q: y= logx? + 4 Find dy 3 dx

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Q: Find derivative for the following exponential function at x = 0 e(x²-e5*) O -5 e O -5/e O 5e O 5/e

A: We know ddxef(x) = ef(x)·f'(x)

Q: 1 dy Find dx if y = (x²+1)(x+3)2 x >1 x-1 Hint: (The properties of the natural logarithm can be…

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Q: In2 log2x dx

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Q: 19. Evaluate a) S. dx, leaving your answer in terms of natural logarithms, (x+2)(x+3) b) evaluate…

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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: Find d (7ª). Type In(x) for the natural logartihtm function. dx

A: Given query is to find derivative if the expression.

Q: d 1 -(log, (x))= dx x > 0 x In a

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Q: c) Use logarithmic differentiation y = (z):

A: Given that: y=x1x

Q: dy by first using algebraic properties of the natural logarithm dx Find (x + 6)(x + 8)* (x +3)*(x +…

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Q: Solve the logarithmic equation for t. ln(at + b) = c if a ≠ 0

A: To solve the given logarithmic equation.

Q: 00 dx 2- So V- log x

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

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Q: Find d/dx(4^x). Type ln(x) for the natural logarithm function.

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Q: ® Hing logari thia diffen tiatin, de tormine dy dx y= [at) (xts) Ca5) (x-1)

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

Q: log 4z a tall var I

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Q: Find dy dx given (х* + 3x — 1)° /1 – 3x³ y , by using property of logarithms.

A: