Use the Chain Rule to find dz/dt. dz dt z = x² + y² + xy, x = sint, y = 9et ×

Q: əz Use chain rule to find z = x² + 3wxy + w², with x = 2t + 1, y = et and w = 3 – t2.

A: The aim is to find, The formula for chain rule is,

Q: Find if y = (+3)(x² – + 3). %3D R

A: Given: y=1x2+3x2-1x2+3 To find: dydx.

Q: Assume that y=2x and dx/dt =4. Find dy/dt . dy/dt

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Q: Find the Integrating factor of: dy + y. sec5x = tan5x dx 1 (sec5x + tan5x) 5 O sec5х — tanп5x + 5 O…

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Q: find dy/dt.

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Q: dx

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Q: Əs' at (1) z = x²+ y², x= s+2t, y = 3st (2) z = sinxcosy, x s-t, y = s² +t³ %3D (3) z = e" tany, x =…

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Q: Find the gradient function (dy/dx) of y=e-2x tanx. Show all calculations.

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Q: dy Find dt y = (4+ csc 2t) dy %3D dt

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Q: d sec*t dt dx.

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Q: z = sin x cos y, = VE, y = 1/t x =

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Q: find dy/dt.

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Q: 214 -3t ds Find dt

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Q: Assume that y = 5x and dx/dt = 2. Find dy/dt.

A: Consider y = 5xApplying derivative with respect to t on both sides and plugging the values:

Q: Find dy/dx.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: cos(2y - x) = 3ysin x

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Q: Find for each pair of functions. dy dt y = x2 - 2x, x = t? + 8 dy = 2

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Q: find ds/dt. s = t2 - sec t + 5et

A: Given: The function is,

Q: Y=xe

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Q: Evaluate the derivative So (3t² – 2t +1) dt. -

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Q: Find: f 4t Vi + dt =

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Q: Assume that 2x + 3y = 12 and dy/dt = -2. Find dx/dt.

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Q: dx + 2x – 3y = t dt

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