Estimate the derivative of the function f (x) = -3 at the point a = 3. %3D

Q: Find the 4th-order derivative of the function y=xsinhx.

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Q: Find the derivative of the function. y = 6sin(πx)

A: Formula:

Q: Find the first derivative of the function y = 2ArcsinV(x/2) %3D

A: Consider the given function, y=2Arcsinx2 It also can be written as, y=2Arcsinx2=2sin-1x2

Q: Determine the derivative of the function y=xlnx−x.

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Q: Find the derivative of the function. y'(x) =

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Q: Find the derivative of function. y = log(2x)

A: A composite function is differentiated as follows: ddxfgx=f'gx·g'x

Q: f(x) = Arctan csc² ( 3x

A: Some derivative formulae: ddxtan-1x=11+x2ddxcscx=-cscx cotx Chain rule of derivative:…

Q: Find the derivative of the function. y = 9Vx y' = %3D

A: Our Aim is to find the derivative of y=9x -(i)

Q: Find the derivative of the function. y%3=

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Q: Calculate the derivative of y = 4 + 1.

A: Calculate the derivative of y = 4 + 1.

Q: Find derivative of the i function y = x*

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Q: Find the derivative of the function. y- tan-(V-8

A: In this question, we need to calculate the derivative of the given function.

Q: Find the derivative of y =log2x

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Q: Find the nth-order derivative of the function y=x2cosx.

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Q: Find the derivative of the function y=x2sinx.

A: Given: y=x2 sin x To determine: Derivative of the given function.

Q: calculate the derivative

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Q: Find the first derivative of the function below:

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Q: Calculate the derivative of the function y=2√x+33√x.

A: Given function is y=2x+33x Power rule of differentiation states that: ddxxn=nxn-1 Differentiating…

Q: Calculate the second derivative y : Vx - /y = 1

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Q: Find the derivative of the function. 4 y=デ

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Q: Find the first derivative y= etanx

A: We have to find first derivative of    y=etanx   First derivative is dydx

Q: Solve for the derivative of y = x(e*) %3D

A: Find your answer below

Q: Find the derivative. y = (lnx) 2

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Q: Find the derivative of the function. 2 x* + 2 .2 y 2 y' =

A: y = x2+2x2-25we know:ddx xn = nx(n-1)ddx f(g(x)) = f'(g(x)) . g'(x)

Q: Explain the relationship between the slope and the derivative of ƒ(x) at x = a.

A: Given function is  fx at x=a

Q: Find the derivative (x) = 2 In x – Vĩ

A: Given: fx=2lnx-x   As we know that; The sum/difference rule:  f±g'=f'±g' The Power law; ddxxn=nxn-1…

Q: Find the derivative of the function. y = /x(x - 3)? y' = %3D

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Q: Find the derivative of the function. y = In(Icsc(7x)|) y'(x) =

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

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Q: at x: つ:8ー5x, atx=e

A: Given:  F(x) = x3 - 5x ...(1)       and the…

Q: find the derivative of y=y^x

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Q: Find the SECOND derivative of the given function.

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

Q: Find the derivative of the function y 5sin(x)

A: Consider the given function

Q: Find the derivative of the function. y = x + 3 y'=

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Q: Find the derivative of the secant function y=secx.

A: The give function is y=secx.

Q: Find the derivative of the function. y = (x² + 1) coth 91 y' =

A: we have to find the derivative of given function                 f(x) = (x2+1)coth(x6)

Q: Find the derivative of the function.

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Q: Find the derivative of the function. y = 4sin(Tx) y' = %3D

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Q: Find the derivative of the function. Vs - 3 f(s) = Vs +3 %3D

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Q: Find the derivative of -3x f(x) = e¯* + e2x - e %3D

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Q: Determine the derivative of y =x 이5

A: Here we have to determine the derivative of  y=x65 differentiate with respect to x dydx=ddxx65

Q: Find the nth order derivative of the cube root y=3√x.

A: We first find the first three derivatives using the power rule

Q: Find the derivative of the function - (tan(æ)). Y = y'

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Q: Find the derivative of the function. 12 X %3D

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Q: Calculate the derivative of the function y=x.

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Q: Determine the derivative of the function (x) = %3D 3+e3*

A: Authoring guidelines:…

Q: Calculate the derivative of the cubic function y=x3.

A: ddxxn=n xn-1

Q: Find the derivative of the function y=√x.

A: Given, y=x