In the given problem, we implicitly differentiate by taking the derivative with respect to x of both sides of the equation. 응0=(5 cos(x + y)) Evaluate the derivative with respect to x of the left-hand side of the equation, y. dy dx dx

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

A:

Q: Find the first derivative for y = 5 cos x

A: Given,          y=5cosx

Q: 1) Find the second derivative of y = csc 2 e cot 2e %3D

A:

Q: Find the derivative of ?(?) = 12 cos ?.

A:

Q: sin 3x y = e*

A: Given equation: y = e4x2 sin 3x

Q: Find the sum of the convergent series. 3 + 음 + 2/5 12 24 25 + 125 X

A: The objective of the question is determine the sum of convergent series.

Q: 8. Find the second derivative of the function: y= (X+1)-x+Y+2 sin ²x

A: The given function is  y=X+1·x+Y+2sin2x

Q: In 2x y = - cos x

A: ddxln 2xcos x= ddxln 2x . cos x - ln 2x.ddxcos xcos2 x= 12x. 2. cos x - ln 2x.(-sin x)cos2x= cos xx…

Q: For the function y = х2 х3 find the derivative dx dy УЗx

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Q: 5 b. y= sin’ x

A:

Q: Find the derivative and don't simplify the answer. y=tan-1(5x4)+(cos-1(x))6

A:

Q: 1. x³ V1 – x2 In x +3' 2.

A: (1).   The given function is: f(x)=x31-x2

Q: 6. y = vx sin-'(x)

A: we havey=x sin-1(x)

Q: Determine the derivative of x2 + 2xy + y? = 10 implicitly. Determine the derivative of y sin x = x³…

A: