az Find for z = x²y°e®Y dx

Q: Evaluate: xy² dx dy

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Q: Show that the slope dy/dx is defined at every point on the graph of 2y = x² + sin y.

A: Given- 2y=x2+sinx To prove- That the slope dydx is defined at every point on the graph of the above…

Q: Find dy/dx if 3 (cos y) (sin x) = y

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Q: .x = t² – 2t – 11 and y = t(t – 4)³ – 3t²(t – 4)² + 7

A: Given:- x = t² - 2t - 11 and y=t(t-4)³ - 3t²(t-4)² +7 To find:- y'

Q: Let y = cot (csc2x/x3+5). Find

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Q: Find dy/dx in terms of x and y if x = 10√/y. X

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Q: o d'y Find dx²

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Q: ソ=xX.sinx

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Q: dy Find dx y = tan (In 6x) dy dx

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Q: find dy/dxy=x/1+cosx

A: we have to find derivative of f(x)we will use following rule

Q: Find dy/dx    y = 5 tan6x

A: Given Data: Equation: y=5tan6x The first derivative of the tangent function is, ddxtanx=sec2x…

Q: by using beta function Vxe-x dx

A: We have to evaluate integral value by using beta function.  I have explained in details please check…

Q: 1. x = 4t3 – t2 +7t and y = t – 6

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Q: Find dy/dx for the Following!- secx 13x Cot 5x (2In 9x)

A: Find dydx of the following:y=lnx4secxtan-1e3x6cot5xe2ln9x

Q: Find d dx x3 Stan(t² + 5)dt.

A: I have explained everything with in the solution. Please go through that.

Q: dy Differentiate ax by applying the chain rule repeatedly. Show work 7 y =(√x + = = 2₂2) ³² X-2

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Q: Let dy Then = dx y = tan -¹(√42²-1)

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Q: d 2x Le arctan t dt dx

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Q: Let dy Then dx -1 y = tan ¹ (√4x²

A: Let To find .

Q: Find dy /dx ; for the following (sec 2x) )ه( (cos

A: We need to find dy/dx

Q: find dy /dx for Hhe fallowing Y=(catx²)(cot"x) 2

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Q: Integrate the given function. T/ 20 2 sec 5x -dp- 4 + tan5x 1/20 2 sec 5x 1 5 -In 4 - 4 + tan5x | LO

A: The given integration is:

Q: Evaluate dx x²V9 – x?

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Q: dy/dx

A: Given,x=ttan t and t=ysinyFind dydx