Question

Equation: y=3x+5
a) given that dx/dt = 2, find dy/dy when x=1.
b)given that dy/dt = -1, find dx/dt when x=0.

Answer 1

a) differntiate with respect to t
dy/dt = 3 (dx/dt)

dx/dt = 2
so dy/dt is 6.

b) dy/dt =3(dx/dt)

so dx/dt = 1/3 * (dy/dt) now dy/dt = -1 so dx/dt is -1/3