Implicit and logarithmic differentiation Find the first derivative R(t)=[Sin(4t)]^6t

Q: Logarithmic Differentiation. Find y'

A: Write the function without radical sign using the power 1/3.   Take log on both sides,

Q: Derivatives of logarithmic functions Calculate the derivative of the following functions

A: Given function is y = log8tan x. From Property of logarithm, we have loga b  = ln bln a Therefore,…

Q: cos-{10x) sin-{10x) Find the derivative of the function y = (Use symbolic notation and fractions…

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Q: sin²(x) + sin(x) dx To evaluate the using basic formula of integration (without using cos²(x)…

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Q: y = Arctan?(x³)

A: We have to find dydx for y=arctan2x3.

Q: Find the second derivative (i.e., general solution) of each equation then solve for the particular…

A: The function given is as follows: fx=tanxsinx We are asked to evaluate the second derivative of the…

Q: f(g(x)) = (3x² f (g(x)) = (x)(x² +3)² (За* — 2х + 4)°

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Q: Derivative of y = |x| Graph the derivative of f(x) = |x|. Then graph y = (|x| – 0)/x - 0) = |x|/x.…

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Q: An unknown function's derivative is h'(x) = 3x-2 - 6. Using your understanding of the derivative…

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Q: Derivatives involving ln x Find the following derivatives..

A: Given : ddxln7x

Q: Logarithmic Differentia tion Use logarithmic differentiation te find the derivative of H with…

A: Explanation of the answer is as follows

Q: (0, f(x) = 7 sin2(x) + 7 sin(x) (a) Find the open interval(s) on which the function is increasing or…

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Q: DERIVATIVE OF INVERSE FUNCTION. x + 2 Let f(x) 1- x • Show that the function is one to one 1 • Find…

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Q: 6 2) Find the 3rd derivative of y = (x-1)2

A: Given: y=6x-12

Q: 43. Average Rate of Change Find the average rate of change of f(x) = 1 + sin x over the interval [0,…

A: Given: fx=1+sin x To Find: Average rate of change of given function over the interval 0, π2

Q: Derivatives of logarithmic functions Calculate the derivative of the following functions

A: y=log2(log2x)

Q: Derivatives of logarithmic functions Calculate the derivative of the following functions. In some…

A: Given: y=4log3x2-12. for find derivative of it we first change base of log into e for that we will…

Q: 1. f(x) = Vx

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

Q: Derivatives with exponentials Compute the derivative of the following functions.

A: Given: gx=xe3x

Q: Derivatives of logarithmic functions Calculate the derivative of the following functions. In some…

A: Consider the given function fx=cosxlncos2x

Q: Logarithmic Diffetentia tion Use logarithmic differentiation te find the derivativeof Hwith respect…

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Q: x*-y* 3) x²y³ = **-y+ ху

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Q: Derivative formulas Derive the following derivative formulas given that (cosh x) = sinh x and - dx…

A: The derivative of sechx have to be found. ddxsechx since sechx is the reciprocal of coshx, This can…

Q: (x2+ /x)cos(x) . find the value of the first derivative at x = 2. sin(x) 12. Given the function f(x)…

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Q: - y = x In(x) Y =

A: topic - logarithmic differentiation

Q: Va2 – x2 y = Arcsin-+ to

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Q: implicit differentiation to find the equation of the tangent line to the function defined implicitly…

A: Topic = Functions

Q: Question-8 Inx a) Find the derivative of f (x) = ( using logarithmic differentiation. b) Find the…

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Q: Derivatives of logarithmic functions Calculate the derivative of the following functions. In some…

A: Derivative: y=log8|tanx| logab=lnblnay=log8|tanx|  =ln(tanx)ln8

Q: 3. f(x) = (tanh(sin-1 x))2*

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Q: Derivatives of logarithmic functions Calculate the derivative of the following functions. In some…

A: Given function is y=log10x. From Property of logarithm, we have logab=lnblna Therefore, given…

Q: "sin²(x) + sin(x) os²(x) To evaluate the -dx using basic formula of integration (without using…

A: Let's find.

Q: Derivatives of logarithmic functions Calculate the derivative of the following functions. In some…

A: Given- y=1log4x To find- The derivative of the above expression. Identity Used- logmn=loganlogam

Q: sec x = Let f(x) + x³e² - log₂ (5x + 1) + 1 x² √T Using the derivative rules learned in our course,…

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Q: Differentiating Exponential Functions Find the derivative of the function ex + 2 f(x) ex - 2 f'(x) =…

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Q: 3. f (x) = V1+ v1 – x 4. у %3

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Q: Calculating derivatives Find the derivative of the followingfunctions.

A: Given:  y=1-sinx1+sinx

Q: 3. y = tan vx2

A: Given that y=tanx2-1 find dydx

Q: 1.) A spherical snowball is being made so that its volume is increasing at the rate of 8ft^3 min/…

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Q: 6. y = Arccos ()

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Q: sec x Let G(x) = Give an example of a value of x for which the line tangent to the graph of y = G(x)…

A: Given,            G(x) =sec x1 + tan x

Q: Logarithmic differentiation Use logarithmic differentiation evaluate f'1x2. to tanº x f1x2 15x + 326

A: To evaluate the function, fx=tan10x15x+326 using logarithmic differentiation. Solution: The give…

Q: A function  f(x) has a relative extremum at x=π. If the second derivative of the function is…

A: Given              A function  f(x) has a relative extremum at x=π. If the second derivative of the…

Q: The Reciprocal Rule a. The Reciprocal Rule says that at any point where the function v(x) is…

A: Given: (a) The quotient rule is given as,

Q: dx 6. x²-1

A: As per our guidelines we are supposed to answer only one question. Kindly repost other questions as…

Q: A. Find the derivative of the given function at a given number 1. y 3x-2 at f'(1) *Derivative of…

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Q: A function  f(x) has a relative extremum at x=π. If the second derivative of the function is…

A: Here, f''(x)=x-cosx

Q: Logarithmic Differentiation

A: Given,