Question

HELP!! suppose that x=x(t) and y=y(t) are both functions of t. if y=4x^2-1, and dx/dt=3 when x=12, what is dy/dt

Answer 1

x and y are both functions of t, so when you differentiate you have to remember to apply the chain rule. This first part is really important.

y=4x^2-1

differentiating the left side, you get dy/dt
differentiating the right side you get 4*([2x]*[dx/dt])

So, dy/dt = 4*([2x]*[dx/dt])

Then plug in the givens. The rest is algebra

Answer 2

uhh

Answer 3

thank u