Wednesday, September 30, 2015

Find dy/dt using the chain rule : y = x^2 , x = 2t-5

Using the chain rule we know that for a function y = f(x)
where x = f(t), dy / dt  = dy / dx * dx / dt.


Now we have
the functions: y = x^2 , x = 2t-5


For y =x^2, dy/dx =
2x


For  x = 2t-5, dx /dt =
2


So dy/dt = dy/dx *
dx/dt


=> 2x * 2 =
4x


=> 4* (
2t-5)


=> 8t –
20


dy / dt =
8t-20

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