Find the indicated derivatives. (e* ((v)e)) +log5 (T (a) dr In(x) (b) dr

Q: In the given question/s , find the derivative of the function.   f (x) = ln(x -1)

A: To find the derivative of function f(x)=lnx-1 differentiate both sides of the function with respect…

Q: In the given question as follows/, find the second derivative of the function.   f (x) = (3 +…

A: f(x)=(3+2x)e-3x

Q: Find the derivative of the function. 3x 9(x) = e+5.

A:

Q: Find the derivative of the exponential function. Y = x'e-5x dy dx

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Q: 1. Find the second derivative of the function. 8(x) = 3\/x + e7*In(x)

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Q: Find the derivative of the function F(s) = In(9 ln(8s)). F'(s)

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Q: In the given question/s , find the derivative of the function.   y = ln (ln x)

A: We have the function y in terms of x  therefor we can  find the derivative of the the function y by…

Q: Find the derivative Of g(t)=ln(e^-t+2t)

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Q: Find the first derivative:  y=log1o 5x+3/5x-4

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Q: Find the derivative of the logarithmic function. 6 + y = In

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Q: g +2 Find the derivative of h(x) = ln

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Q: Find the derivative. y = e(ln x)2

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Q: find the derivative of y with respect to the givenindependent variable.73.y = log2 5u…

A: we have to find the derivative of y with respect to the given independent variable. (73) y=log25u…

Q: Find the derivative of the function y = log4 (6x + 1)

A: Given information: y=log46x+1 Log rule: logab=lnblna

Q: In the given question/s , find the derivative of the function.   f (x) = ln 3x

A: To find the derivative

Q: Find an equation of the tangent line to the graph of the function at the given point.

A: Here given function as y=log102xory=log 2xlog 10 Differentiate with respect to x dydx=log2xlog…

Q: )=1/x. Using this, compute the

A:

Q: Find an equation of the tangent line to the graph of the function  y = log3 x, at the given point…

A: y = log3 x

Q: Find an equation of the tangent line to the graph of the function y = log10 2x, at the given point…

A: Given:y=log10 2x  through the given point 5, 1Equation of tangent line:y-y1=mx-x1Slope:dydx=f'x=m

Q: Find the derivative of the function f(x) = log23√(2x + 1)

A: To find derivative of fx=log22x+13

Q: h(x) = e(-1/2)x

A:

Q: Find the derivative of f(x) = ln (x* /8 – 6x), using the properties of the logarithm. Provide vour…

A: We will find the derivative of the given function f(x)=lnx48-6x by using the properties of logarithm…

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

A:

Q: 4) Find the third derivative of g(x) = e*.

A: We will solve the problem

Q: 8. y = log x-1 x+1

A: Let's find second derivative of given function.

Q: y = log,(4x - 8x)

A:

Q: Find the derivative of the function g(x) = 300(4 – e-0.1x)

A: The solution is given as follows

Q: Find the derivative of the function. g(x) = 500(5 – e-0.1x)

A: Given,           g(x)=5005-e-0.1x

Q: Find the derivative d (2* log2 x) dx

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Q: Find the derivatives of the functions y = log2 (x2/2)

A: Given that y=log2(x22)

Q: Find the derivative of the following function 1. y= -3^(2x-4) 2. y= x log10 x

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Q: 1. Find the anti-derivative of the following. e" (x + 1) dx x2

A: From the given information. Anti-derivative has to be calculated to the following expression.

Q: 2x+ln x

A: We know that power rule of derivatives is  d(xn)/dx = nxn-1.     Here i attached the solution of…

Q: Find the derivative of the function y = log5 √(x2 − 1 )

A: Here given function as y=log5x2-1 or y=log x2-1log 5 The power rule for derivatives is expressed as…

Q: y= Arccos(e2x) х-1 y = log Vx+1

A: We know that,  ddxcos-1(x)=-11-x2ddxlogx=1x Along with these results we use the chain rule for…

Q: Q3// By using logarithmic differentiation and with respect to independent variable x, find the…

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Q: Find the slope of the tangent line to the exponential function at the point (0, 1). y 2 1 (0, 1) -2…

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Q: Find the derivative of the function. h(x) = log,(x + 9) h'(x) = %3!

A:

Q: y = log6(x)

A:

Q: What is the derivative of the given logaithmic function y = log3 (2x“)? 2 In (3z) 2 A. æ In (3) 2 В.…

A: Let's find.

Q: Find the first derivative of the following implicit function: X² + 3xy + y² = 4

A: Given : x2+3xy+y2=4 Lets take first derivative  Take derivative with respect to x. apply the power…

Q: 2. Find the derivatives of the following functions. a) y = (log2 x)3¬*

A: Given information: The function is y=log2x3-x. Calculation: Find the derivative of the function. Use…

Q: 24. Find the first order derivative with respect to x of the function u = log(x+ x .

A: The solution for the above question is as shown below.

Q: Find the first derivative of the following implicit function. x² + 3xy + y² = 4

A: Given : x2+3xy+y2 = 4

Q: Find the anti-derivative of g'(x)= log1/2(X)

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Q: y = e2x+1

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Q: Find the derivative of the exponential function f ( x ) = 5x 2 e 7x

A: Given function: f(x)=5 x2 e7x     Calculate the derivative of f(x): f(x)=5 x2 e7x   Take the…

Q: Find the higher-order derivative. (4 log 2(x – 5)) dx2

A: Given, d2dx24 log2x-5

Q: 1.) Find the 30th derivative of y = e¯*

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…