dy 4. dz at z = - 4 if y = 3x² – 1 and dt Find dt dz dt

Q: Find at æ = 3 if y=-5x² - 2 and da dt dy dt = 4.

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

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Q: Let xy = 4 and dx dt Find dy dt when x = = 2. 1.

A: ..........(i)Differentiating equation with respect to t Put   ..........(ii)

Q: dy If y = (t + 7t + 6) (4t² + 5), find dt

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Q: dx -y = 5 dt dy = 3t dt 2x -

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Q: If y = 3x dx + 4x and dt 2, find when x = 4. dt dy dt

A: y=3x3+4xdxdt=2,

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

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Q: dy If y = (t + 2t + 5) (7Ł² + 3), find dt dy dt

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Q: Let 3x3-y3 = 2. What is the value of dx/dt if dy/dt = -2 when x = 1?

A: To find the derivative of x with respect to t.

Q: dy = 3. dt dx at x = 4 if y = - 2x² + 5 and dt Find dx 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: dy If Vx +Vy=5 and dx - 3. find the value of when X=1 dt dt

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Q: dx 3x 6y = 0 dt dy 3x + Зу %3D 0 dt

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Q: If y = (t² + 2t + 6) (3t² + 5), dy find dt dy dt ||

A: Given function: y=t2+2t+63t2+5 To find the derivative of y with respect to t that isdydt. Formula…

Q: dy If y = (t² + 7t + 5) (2t² + 6), find dt

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Q: Assume that y=5x and dx/dt = 8 find dy/dt

A: Differentiate by chain rule : →f(g(x))dx = d(f(x))d(g(x))×d(g(x))dx.

Q: dy If y = (t + 6t + 5) (6t² + 6), find dt dy dt ||

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Q: dy If y = (t² + 5t + 8) (3t² + 2), find · dt dy dt

A: given  y=(t2+5t+8)(3t2+2)dtndt=ntn-1

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

A: Assume,

Q: dx + 2x – 3y = t dt

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Q: dx dt dy dt = X (1 – || p + X k B(1 – m)yx - 1+a(1–m)x - cB(1 – m)xy 1+a(1 – m)x

A: Given dxdt=αx1-xk-β1-mxy1+a1-mxdydt=-γy+cβ1-mxy1+a1-mx To solve the equations dxdt=0, dydt=0 for x,…