10 logio (10x) dx 1/10 X

Q: [2 2x log 2x dx

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Q: log3 r + [Arcsin(5x)]³ 3

A: To find the derivative of given function.

Q: 10. x*(lnx + 1)8** dx

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Q: _2] ln(1+x)

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Q: Find the integral: log7 X dx = %3D

A: Solve the following integral

Q: At what value(s) of x does ln (1 - x2) = x - 1?

A: We need to find the solution of the equation given by

Q: 1. logx = 2 %3D 2.ln(x + 1) = 5

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Q: 2x+ln(x) С. у %3 Vx

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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) = ln x) and g(x) = e-x Let f(x) and g(x) be positive for x sufficiently large,  a) f(x)…

Q: Differentiate   y = 3(ln x/x)

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Q: dx Evaluate the integral 4x log 2x dx 4x log 2x

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Q: 1 dx x[9+(ln 3x)" 8.

A: use simple integration method.

Q: Find the indicated derivative and simplify. [6x log x°] dx [6x log x ]= 125 dx (Type an exact…

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Q: Solve the equation for x.   4 - ln x = 0

A: Logarithm and exponential functions are inverse of each other. According to the logarithm and…

Q: S dx x²+x dx x+x ln x

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Q: csch(ln x) coth(ln x) dx

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Q: dy/dx of log5(y2-y) + csc-1 (x/π) = -3y

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Q: 1+ ах log 1-ах dx x 1-x Evaluate

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Q: So 1 x²+7x+10 3ln 2-ln 2 dx

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

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Q: Solve for x : Inx+ln 3=2

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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: 3 dx x(ln(x))³

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Q: e2x+sin x-1 b. lim x-0 log(1+6x)

A: L'Hospital rule states that when the limit is of 0/0 form then differentiate the numerator and…

Q: Solve  x (dy/dx) + 2y = logx

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Q: log8 square root x/yz2

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Q: Solve x +y= logx dx

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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: 2. y = [log(arccotx³)]coshx. Find dy/dx

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Q: Explain why ln x is positive for x > 1 and negative for 0 < x < 1.?

A: Plotting: y=lnx

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 derivative d (2* log2 x) dx

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Q: ln(ln x)=1

A: Given:

Q: Log sqrt x*yz

A: We will evaluate the given logarithmic expression as shown below

Q: The derivative of the function y = cos(x In 3) log3(sin x) is:

A: Given,            y=cosxln3log3sinxTo find : The derivative of the given function.

Q: Solve for x

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Q: Find a number such that the tangent line to the graph y= log,(x) at x = a is parallel to the tangent…

A: The objective is to find the value of a

Q: ' log2x dx 62.

A: Given integral, ∫14log2xxdx

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

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

Q: What is the antideravative of  (1/ln2) 1/x dx?

A: Given,

Q: (2+ln æ)* dx 3

A: Given∫2+ln x3xdx

Q: Pr. #2) Solve for y' = by logarithmic differentiation. e sinh(3x + 1) y = (2x + 1)4 5x –1

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Q: 0/= log10 (x) dx

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Q: 4. coth(ln x)

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Q: 1.Solve by logarithmic differentiation (x+1)(x+2)(x+3)2 Y=In( V(x+3)3(x+4)4

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Q: Va(ln(x))² dx

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Solve for x: ln(x+1) - ln(x-1) = 1

A: Given : ln(x+1) - ln(x-1) =1

Q: V1 - (In x)² x ln x VI dx

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Q: 10 log 10 (10x) dx 1 10

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Q: When is ln x negative?

A: When is ln x negative?