*Yx = cos°(t), y = sin (1),z =, dw = 1 dt w =-+2,x= z Z ==, at t = 3 Ans. t=3

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A: We have to find dydx of the given function: y=15+cos x4 We know the formula of derivatives,…

Q: Find dy/dx for x*+siny = x'y

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Q: Find f'co) if fco)= (Since\ %3D

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Q: Calculate the derivative indicated in the figure below

A: rs=s, 2s, s2

Q: Let y -2 = S sin³ (t) dt. Use the Fundamental Theorem of Calculus to find y'. ex

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Q: dy Find dx of the equation xcosy = sin(x + y)

A: Differentiating using chain rule of differentiation.

Q: Q/ Let w=F(Xi)) and X= V cose, y=Y Sine Show that (w 2 %3D Y

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Q: solve the bernoulli equation dy/dx+y = y^2(sinx+cosx). and show that the answer is y(cosx+Ce^x)=1

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Q: Use implicit differentiation to find dy/dx and d²y/dx². xy + 3 = y, at the point (4, -1) Select one:…

A: According to guidelines I can solve only 1st question

Q: Find y' : In(cos² 3x) = e*+y + sin-1 y

A:

Q: Find y' of cot (xy2) + xy = x².

A: Given query is to find derivative of the expression.

Q: Differentiate y = (1+ sin* (æ²)) °. 3 8.

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Q: Find the indicated derivative dy/dx 3.) x+xy+y=1

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: y =5 tan-(Vx) 2

A:

Q: Find y' if 4 cos x cos y = 3y. %3D

A: To find the derivative.

Q: dy Csc t مثال )3( اذا كانت فاثبت ان y = tan t , x = sec t das II

A: Solution:-

Q: 15. f(t) = e" sin bt

A: Given function f(t) = eat sin(bt)

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Q: sin(y) = -5x dy Also, dt 10. dx Find when y = -T. dt

A: Consider the following: Differentiating the function with respect to x on both sides, we have,

Q: Find the directional derivative of J(, 9) + 3y at the point (2, the direction 57 radians.

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Q: Evaluate y” - y’-2y = sin2x

A: Using method of linear differential equation.

Q: 2) 3. y= (2x + 5)3

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Q: Find by implicit differentiation: dx a. cos y =x+ y

A: Since you have asked multiple questions in single request  so we  will be answering only first…