Differentiate the function. y = Vx2 + 4x y' =

Q: Find the indicated derivative. Find y(4) if y' = V4x – 10. y(4) = %3D

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Q: 9. State the Second Derivative Test for functions of two variables z = f(x, y)

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

A: Formula:

Q: Find the 3rd derivative of the function y=ex/x.

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Q: Find y" by implicit differentiation. 3x3 + 5y3 = 7 y" II

A: Given       3x3+5y3=7   1using implicit differentiation, w.r.t x1  ddx(3x3) +ddx(5y3)=ddx(7)…

Q: Find the 3rd derivative of the function y=xsinx

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Q: Y = V(2x + 1)2 yiv %3D

A: Here given as y=2x+123 Differentiate with respect to x…

Q: Find the derivative of f(y)   f1(y) = ?

A: The given is: fy=6tany-y6-8y4y This function can be written as:…

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

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

Q: Vt- 4 V3t - 4 y =

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Q: Find the derivative of the function. y = 3x + V3 3x + V3x y' =

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Q: Find the first derivative of the function Y = [(x – 1)(2x + 3)]?.

A: Let us see the expansion of (a + b - c)2 formula.(a + b - c)2 = (a + b - c)(a + b - c)(a + b - c)2 =…

Q: Find the derivative of the function y =2cosx – 3sin x +1

A: Given, y=2cosx-3sinx+1

Q: y = = Vsin va

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Q: calculate the derivative. y = cosh2(9 − 3t)

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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: Find the derivative of the function. y = ek tan(V 5x) y'(x)

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Q: Find the derivative of the function. y = 2 cos5 x

A: Given, y = 2 cos5 x To evaluate, dydx

Q: Calculate the derivative of the function y=1+cosxsinx.

A: Given: y=1+cosxsinx we know that for finding derivative of given function we need to use product…

Q: Which is the second derivative of y=vx ? *

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Q: Determine the derivative of y=(x−1)4 without using the power rule.

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Q: Obtain the derivative of the function y (3 sen(4x))° ( tgʻ(2x)) y = (sec(2x))* – 1

A: This question is based on Trignometric application and diffrentiation of function.

Q: Find the derivative of the function. y = 2eVx

A: The chain rule for differentiation is given by ddxfgx=f'gx.ddxgx.

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

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Q: cosx y =-

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Q: Find the derivative of the function y = ex−4

A: To find the derivative of  y=ex-4

Q: Find the derivative of the function. y = tanh6(9x) %3D y' =

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Q: Find the derivative of the function y = x² cosh²3x

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Q: Find the derivative of y = x. %3D

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

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Q: Find the 3" derivative of the function y=f(x) given by the equation y' = 2x.

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Q: Find the derivative of the function. 2 + arcsin 5 () y = xV 36 - x² y' =

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

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Q: Find the derivative of the function. y = 13 arctan V (v²) y' =

A: We have to find the derivative of the function  y = 13 arctanx.

Q: Find the derivative of the function. .2 y = (x + 3) coth 7 y' =

A: Given that: y=(x2+3)cothx7

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

A: Consider the given function

Q: Find the derivative () of: dx y = 4x Jx + Vx

A: Using chain rule of derivative it can be done. please follow the solution which is mentioned in step…

Q: Find the derivative of : y=x sin(x) %3D ?

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Q: n. y= (x+Inx)

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

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Q: Determine the derivative -d/dv y = 2x³ + 5x - 6 y 1 x² 3x 6x³ + x² − 10x − 3 -

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Q: Find the derivative of the function. 9 y =- Vx + 1

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Q: Find the derivative of the function. y = x² cosh²3x

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Q: Find the derivative car (x+y) = yrinx

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Q: Find the derivative of the function. X +8x + 3 y3D VX

A: Here we use the quotient rule of differentiation ddxuv =vdudx-udvdxv2

Q: w(x) %3D хе*

A: To find the second derivative of function w(x)=xex

Q: Find the derivative of the function. 7. y%3D Vx +2 y'

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

A: ddxxn=n xn-1

Q: Determine the derivative of y. y = ev12x+8 %D

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