Question

Help Please: If A = x^2 and dx/dt =3 when x=10, find dA/dt.

Answer 1

A = x^2

dA/dt = d/dt[ x^2 ]

dA/dt = 2x * d/dt [ x ]

dA/dt = 2x * dx/dt

I'll let you finish

Answer 2

can you please elaborate it little bit more this is a new material for you just little bit more if its possible for u?

Answer 3

well x = 10 (given) and dx/dt = 3

Answer 4

also given

Answer 5

plug these in and evaluate

Answer 6

u can use chain rule as well
\[\frac{dA}{dt}=\frac{dA}{dx} \frac{dx}{dt}\]

Answer 7

yes you could do that too and Sam's way is useful for doing partial derivatives later down the road

Answer 8

ok thanks