Question

Find the indicated derivative. In this case, the independent variable is a (unspecified) function of t.

y=(x^100)+(91x^(-1)) find dy/dt

Answer 1

I have many questions like this, but only need this answered with a detailed example of how you answered it so I can just plug and chug for the other questions! Thanks for your help!

Answer 2

dy/dt=(the answer)dx/dt

Answer 3

well in that case you need the chain rule.

as there x = f(t)
\[\frac{dy}{dt} = \frac{dy}{dx} \times \frac{dx}{dt}\]

so then

dy/dt = dy/dx * f'(t)