Let oce) = Jñ e %3D dt, xe R X- is sloww that e li) show that the function y = o)e* satirfies the differential eguation dy/dz = 2xY+/7, %3D

Q: f(1 + /x) 3+ t? .Find dy where t = 1, f(3) = 2, dt 10. Let y %3D X g(1 – Jx)' g(-1) = 4, f'(3) = -2…

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Q: 11. Use implicit differentiation to determine dx dy given: x*(x + y) = y²(3x – y) %3D

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Q: Find dy dx? if y= 5cos2x-4sin 2x at x =0

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Q: Find the firs t derivative of the f anction y=4sin[sselur)] at the Point x= T

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Q: 4. Use the chain rule to find out the total derivative dv/dt, when v = xe/z, where r = t²,y = cos t,…

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Q: Verify the homogeneity of the differential dy _ y²-2xy x2 - 2xy dx

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Q: Find dy/dx and d2y/dx2 of x= t + 1/t, y= t + 1

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Q: psin(rx) (b) Let g(æ) 1 and f(x) g(t) dt. Find f'(2). x4 + 1

A: We have to use derivative under the functional limit formulae first then put x=2.

Q: dy at x = 1 if y = 4x² + 1 and dt dx Find – 1. dt dy dt || ||

A: Solve the following derivative

Q: 2 y = √√√x² + 1

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Q: dy Find at x = dt – 4 if y = dx - 2x2 + 3 and dt 2. - - dy dt ||

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Q: Find dx dt dx dt || at x = 5 if y = 4x² - 4 and dy dt = 3.

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Q: Determine the value of dy/dt at x = 2 when 3x² - 5x and dr/dt = 2. y = 1. 2. 3. dy dtx=2 dy dt=2 4.…

A: The given function y=3x2-5x. We have to find the value of dydt at x=2 and dxdt=2.

Q: 1 Differentiate w.r.t'x': y = 2 5 + 3x

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Q: Compute the differential dy  for  y=(6x+sinx)^3

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Q: dy dx if e*y = sin-1y+ x²y + Find

A: Given exy2=sin-1y+xy2+yπ

Q: Write the differential equation and then determine whether you have overdamped,critically damped,or…

A: Introduction: The differential equation of motion of an unforced damped harmonic oscillation is…

Q: Find dy dx || dy dx x2 2 x2 for y=x | tant d dt 2 dt + (Type ex

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Q: Find dt dt dy dx dt dt "I and 1층 x = stet y = 2t + sin(t)

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Q: 2. Let F(x) = re* %3D VE dt, find F'(x). t2+sint

A: Solution is given below:

Q: Find dy dt dy dt at x = 3 if y = 5x² + 3 and dx dt 2.

A: Given:-y=5x2+3dxdt=2 at x=3To find : dydt