Find f. 4 f'(x) = 1- Ex) = %3D

Q: Determine the first derivative of the ff. function dz y = e? sin x + In x (arcsin z) with dx 4

A: Determine the first derivative of the function                   y=ez sin x + ln x (arcsin z)  With…

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

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Q: 5

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Q: Find the derivative of function.

A: To find the derivative of the given function                                                y=log…

Q: Find the average rate of change of f(x) = cos x from 0 to π /2 .

A: Given: fx=cosx  0,π2

Q: Find the derivative. y= log (8x) y =0

A: The given equation is: y=log(8x)Let,   8x=ty=logt

Q: What is the average rate of change of y = cos (2x) on the interval [0,π/2]

A: Given f(x)= y=cos (2x) to find the average rate of change over the interval (0,pi/2) average rate of…

Q: Find the derivative of the function. *sin(x) y = Jcos(x) In(1 + 5v) dv

A: We have used the lagranges theorem to find the derivative of an integral

Q: What is the instantaneous rate of change of the graph of y = = cos x when x= 2n?

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Q: Determine the first derivative of the ff. function y = ln| le* – 1/

A: We have to find the first derivative of the function: y=lnexex-1 We know the property of logarithm,…

Q: Find the average rate of change of f(x)=x² – 5x from: x, =-1 to x, = 3

A: We will find the average rate of change of the function.  We know,  the average rate of change =…

Q: Find the rate of change of the distance between the origin and a moving point on the graph of the…

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Q: Find the derivative of the function.

A: Given y=lnx+1x-1

Q: Find the derivative of the function y = (1/2) arctan e2x

A: Given function is y=12tan-1e2x Chain rule of differentiation states that: ddxfgx=f'gxg'x And also we…

Q: Find the derivative of the function y = ln(9 – e-"). f'(x) =

A: Given that y=ln(9-e-x) To find : Differentiation  y'=f'(x)=ddx(ln(9-e-x))=19-e-xddx(9-e-x)=e-x9-e-x

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

A: y=3+ln(x)cos(ln(x)Differentiate w.r.t.xApply the Quotient Rule:  fg'=f…

Q: Find the derivative of the function y = 4x + In(x + 4). dy dx

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Q: Integrate sec√x dx ÷ √x

A: We have to Integrate : ∫secxxdx Let x=t⇒12xdx=dt⇒dx=2xdt=2t dt Now, ∫secxxdx=∫sec tt(2t dt)=∫2 sec t…

Q: Find where the first derivative is equal to 0. Er ****. lif

A: Introduction: The concept of critical point is very important in Calculus as it is used widely in…

Q: Find the given derivative 6 Dx 7x 1 Dx 7x 5 LN +

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Q: Differentiate the following function.   y = ln(ex + 3e-x)

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Q: (d) y = xnz²

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Q: Find dy/dx by implicit differentiation. exly = 4x – y

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Q: What is the first derivative of s(æ) = 4e"*.

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Q: Calculate the derivative. 3 y = log 3X y' =D

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

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Q: Find the nth order derivative of the square root y=√x.

A: Let's first calculate the nth order derivative of the power function y=xm where m is a real number.

Q: Suppose that a company’s marginal revenue from the manufacture and sale of eggbeaters is dr/ dx = 2…

A: To determine the expected revenue from a production run.

Q: Find the derivative of y with respect to the given independent variable. dy dx 5 y = log 16 ex-log…

A: Given y = log16ex - log4x5

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

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Q: y = e* - cos 3x + xlog.(1+x)

A: By using some formula of derivative

Q: If f(x) = cos(2x), which of the equations below describes the average rate of change of f(x) over…

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Q: Find the derivative of the function. f(x) = ln(x − 1)

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Q: find dy/dx by implicit differentiation ln (x/y) = 1

A: We have to find dydx by implicit differentiation for the implicit function: lnxy=1 Implicit function…

Q: (b) Find the derivative of y = log,(5x')+log, (sin.x)

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Q: 2. Use Logarithmic Differentiation to find dy/dx for y = 3 x(2x+5) (x²+1)²

A: Explanation of the answer is as follows

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

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

Q: 2. Use logarithmic differentiation to find dy/dx. ソミx

A: find the derivative

Q: Find the derivative of the function - 3x f(x) = 3 ln(x) + e - df dx

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Q: Find the 10th derivative of y = cos 3x. f(10)(x) =

A: Given, y=cos3x

Q: Find dy/dx by implicit differentiation. 2Vx + vỹ = 5

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Q: Find the derivative of the function. y = 5 e - 5x+1 dy dx

A: Note:- Answer is given in the picture

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

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Q: Find the derivative of the function. y = log |5- 2x dy dx

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Q: Find the derivative of the function y, below. y = 2x(ln x + In 7) – 2x + V2 dy da

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Q: Find the derivative of s(*) - L Int dt 1+t

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Q: Find dy/dx by implicit differentiation. 2vx + vy = 5

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Q: find the derivative of y with respect to the givenindependent variable.

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