Differentiate the function. f(x) = log,(7 – 4x) %3D f'(x) =

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

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Q: Find dx by first using algebraic properties of the natural logarithm (x+7)(x + 8)³ (x + 2)°(x + 3)°…

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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 derivative of the function.

A: We know that, logbx=y if and only if, x=by. Also, logbxn=nlogx

Q: What is the derivative of e7 ** (4 x*+11)3 y = (16 x2+8 x-5)5 vith respect to x? Hint: Take the…

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Q: c) y = (x-2) 3 x² (x-1)(x+5)4 [Hint: use logarithmic differentiation]

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Q: Find the derivative of the function. f(x) = e* logg(]x|)

A: Using Derivative rule of product of two functions.

Q: Differentiate the following functions using logarithmic differentiation. 1. y = (2x + 1)š(3x – 4)

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

Q: Find the equation of the line tangent to the graph of y=log, (5x + 1) at x= 2

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Q: Q2) find the derivative of the functions : 10 logą t (3x²-1 1) y 2) f(x) = 2x+5

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Q: Is f(x) 0 in the range of the functionf (x) = log(x)? If so, for what value of x? Verify the result.…

A: Given function, fx=logx To check fx=0 in the range of the given function, for what value of x.

Q: Q3/ find the derivative D f(x) = x log5 @f(x) = (x+3) ² 2x+4 2 X

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Q: Differentiate the function

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

Q: What is the closest value to the instantaneous rate of change of the following function at x 2? f(x)…

A: We have to find closet value to the instantaneousrate of change  at x=2?     fx=3log2x-1+3   So we…

Q: Find the first derivative of the function (xy)* = e.

A: Explanation of the answer is as follows

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

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Q: Find the derivative of the following function using logarithm laws. (2x2 + 3) y = (x – 1)2

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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: y = log (esin =)

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Q: D) Find the derivative of f(x) = log3 5x² + 1

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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: 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: 5. Find the derivative of the following Natural Logarithm functions f(x) = In(3x – 4) a. b. 2

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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: Calculate the derivative of the following function. y = log 11(x-11) d. dx log 11(x- 11) =

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

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Q: 3. Find the derivative of the following using logarithmic differentiation: 2x a. y = (2x – 1)(x + 1)…

A: To find the derivative by using logarithmic differentiation first take  the  logarithm on  both…

Q: Use logarithmic differentiation to find for the function dx (x3 +5) y = e2a /2x – 1 -

A: y=x3+5e2x2x-1taking log on both sidelogy=logx3+5e2x2x-1apply log…

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

A: Derivative.

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

A: Given that y=log2(x22)

Q: 3. Use logarithmic differentiation to find y'; and simplify the result to a "single fraction". x2…

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Q: Find the equation of the curve y=g(x)=ax+b, which osculates with the graph of the logarithmic…

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

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Q: y = ln (xm=)

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

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

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Q: Use logarithmic differentiation to differentiate the following fund f(x) = e*(6x – 1)8 f'(x) =

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Q: Calculate the derivative of the following function. y=6 log 3 (x - 9) d 6 log 3 (x - 9) =D dx

A: d/dx [ f(x) ] = 1/ f(x) * d/dx[f(x)]

Q: Find Y for the following function: dx 3- y = log,(x3- x) 4- y = In 5- tan-1 V4x – 5

A: we have to find the derivative of the following

Q: Differentiate the function.

A: To Determine: differentiate y=log2e-xcosπx Given: we have a function y=log2e-xcosπx Explanation: we…

Q: Find the range of the function x* +e x+e f(x)%3sin{log, +cos {log. x' +1 2 x*+1

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Q: Find the second derivative of the function. (e) = ?e-6t

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

A: The given function is,

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: 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: y = e2x+1

A: