Let z(x, y) = -4e* sin(y) where x = Calculate dx dt dz dt = t³ & y = 5nt. dx dy by first finding & dt dt and using the chain rule. dy dt Now use the chain rule to calculate the following: dz dt

Q: find dy/dt.

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Q: Find dx dy and. dt dt dy. dx x = 6tet, y = 2t + sin(t)

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Q: dy Use implicit differentiation to find dx eXy = 2y

A: We need to find dydx for exy=2y  using implicit differentiation. We should know the following…

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 dy implicitly in terms of x and y. Hence, find d.x Given sin(xy) + 3e 3y?. Find dx when x = 0 and…

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Q: Find dy/dt.

A: Given: y=8x3-7x2 dx / dt =4 Find dy/dt

Q: = cos(4t + 12)

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Q: find dy>dt.                                                        y = cos4 (sec2 3t)

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Q: find dy/dx

A: Known formula: ddx∫rxqxftdt=fqx q'x-frx r'x.

Q: Find dy/dx

A: y=∫tan x0dt1+t2

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

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Q: nd dy for d²y dx² y(x) = cot(x)

A: Given query is to find indicated derivative.