FInd the intervals in which the function f(x) =sin(logex) +cos(logex) is decreasing

Q: Let f(x) = x4a. Use logarithmic differentiation to determine the derivative. f' (x) = f'(1) =

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Q: = (2),f %3D (त.ऋ) uj = (x)f 6(x+1) Break up the following function using laws of logarithms, then…

A: Given function is as below : f(x)=ln(6(x+1)x3)

Q: Use logarithmic differentiation to find dy/dx for the function y= [tan(x)]^x.

A: Consider the following equation: y=tanxx Tale log on both sides of the above equation:…

Q: Find F'(x) if F(x)= e^(-x^2) * x^(sin(x^3)) Use logarithmic differentiation

A: topic - logarithmic differentiation

Q: -3 sec-(VI) y = 4"(log, r)sech z

A: Given y=-3sec-1x4xlog2xsechx To find dydx

Q: Use logarithmic differentiation to find the derivative of the function y = Vi e* (x² + 1)'. y = %3D

A: In logarithmic differentiation you need to first take log of both the side and then start…

Q: 3 7 - use logarithm differentiation to differentiate to find y prime (dy). y = x

A: The given function is, y = x.Take log on both sides of the function.

Q: (A) Find an equation of the tangent line to the graph of f(x)=(4x+1)sin(πx) at the point whose…

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Q: compute the derivative. f '(x), f (x) = log2 x

A: Given the function f (x) = log2 x

Q: Use the Power Rule to compute the derivative: d. X. dx x=-1

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Q: Use logarithmic differentiation to find: y=(ln x)ln x, x>1

A: Given,

Q: Use logarithmic differentiation to find y = x³ (5x + 3)¹ (2x - 1)5 dy dx given

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Q: 4. Use logarithmic differentiation to find the derivative of each function a) y = x?r-1 b) y = (cos…

A: A):  y=x2x-1Taking log on both sideslog(y)=(2x-1)log(x)differentiating both…

Q: Let k(x) = tan−1 x. Find the value of k(9)(0), the 9th derivative of tan−1(x) at x = 0.

A: Given

Q: Find the intervals in which the function f(x)=sin (log,x)+cos(log,x)is decreasing.

A: By the first derivative test, a function is decreasing if its derivative is less than zero.

Q: Use logarithmic differentiation to find dy/dx. (x+1)(x-8) y = (х - %3D X > 8 1)(x + 8)'

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

A: To find derivative of fx=log22x+13

Q: Compute the derivative. f'(x), f(x) = log2 x

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Q: Use logarithmic differentiation to find dy/dx for y= x^3 square root(2x-3)/(x+2)^2

A: This is a problem of differentiation of the function. By using the general formula we will find out…

Q: For x > 0, find f'(x) where f(x) = x*¯+3) via logarithmic differentiation. Show all ur work.

A: Topic:- application of derivatives

Q: Use logarithmic differentiation to find dy/dx for y=5√x-1/x+1

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Q: Let f(x) (æ² + 3)² Use logarithmic differentiation to determine the derivative. f'(x) =

A: We have to solve

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 Domain of the Function. y = sin(log, x²]

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Q: Find the derivative of f(x) = In (x* V8 – 6x), using the properties of the logarithm. Provide your…

A: I have stated the used formulas in the solution

Q: Use logarithmic differentiation for the following: f(x) = x ^ 8 * cos^3 (2x - 7) * (12x ^ 2 + 1) ^…

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Q: 2 Compute the derivative f'(x) of the logistic sigmoi 1 f (x) : 1+ exp(-x)

A: We have to find

Q: Find the first derivative or f'(x) of the function below using the techniques of integration f (x) =…

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Q: Use the technique of log differentiation to find when y = (sin(x))In(x) %3D dx and then evaluate it…

A: Given that y=sinxlnx find dydx using log differentiation

Q: Use logarithmic differentiation to find the derivative of the following: a. y = (x2+1)3(x3+2)5 b.…

A: As per bartleby guideline for more than one question asked only first is to be answered please…

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

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Q: i dont understand a) through c)

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Q: Use logarithmic differentiation to find the derivative of the function y = Vx e®* (x² + 1)³. y =…

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Q: Where is the function sin (log (r2 + y²)) continuous?

A: Function = Sinlogx2+ y2

Q: Solve for the derivative of the given functions using the Chain Rule formula. Suppose f(x) =…

A: Given, f(x)=sin(2x)+17

Q: Find the equation of the tangent line to the graph of f(x) at x = 2, if 25 f(x) = 2.5 + log5 2 (x -…

A: For x=2 f(x)=2·5x+log5252xf(2)=2·52+log5252(2)f(2)=2(25)+log525f(2)=50+2f(2)=52 So the point is…

Q: Q4. Use logarithmic differentiation to find y'. Vx²-1-sin x 3 x+2 (i) y = xsecx (ii) у %3D (iii) y =…

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Q: Use logarithmic differentiation to find each derivative. a) y = xtanx b) y = (In x)cos x

A: using logarithmic differentiation and product rule in process

Q: Use logarithmic differentiation to find y = (In x) sin, x> 1. dy dx given

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Q: Compute the derivative of the given function. log3 x f (x) = %3D cot x - 2x2

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Q: Use logarithmic differentiation to compute f'(x), where e* (x² + 1)* f(x) = a³(1 – x)5 -

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Q: Using logarithmic differentiation, Show that y (x)= xa2" e®has no stationary points other than x =…

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Q: Find the first derivative or f(x) of the following functions using the techniques of integration.

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Q: Consider the function g defined by 1 g(x, y) = cos (7x/) - CoS log3(x – y)

A: Given problem:-

Q: Use logarithmic differentiation to find the derivative of the function f(x) = (sin 7x)/x c) Coal is…

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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 each derivative 1)f(x) = e*+&r+1 2) g(1) = In(?* – \H x*(x7–3)² . 3) y = In(2 Vx+10 ) [Hint…

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Q: Use logarithmic differentiation to find the derivative of the function. e y = cos?(x) 2 3x2 + 8x + 9…

A: Here , We will find the derivative of the given function using logarithmic differentiation.    We…

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

A: Given, d2dx24 log2x-5

Q: Find an equation of the tangent line to the graph of (log æ)cosh(a-10) , x >1 at the point where x =…

A: Given equation is  y=log xcosh (x-10), x>1 at x=10

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.