1. ## derivatives

w=(x/y)+(y/z)
x=e^4t
y=2+sin(t)
z=2+cos(5t)
how to find dw/dt in terms of xyz?

2. Originally Posted by iwonder
w=(x/y)+(y/z)
x=e^4t
y=2+sin(t)
z=2+cos(5t)
how to find dw/dt in terms of xyz?
by the chain rule: $\frac {dw}{dt} = \frac { \partial w}{ \partial x} \cdot \frac {dx}{dt} + \frac { \partial w}{\partial y} \cdot \frac {dy}{dt} + \frac { \partial w}{\partial z} \cdot \frac {dz}{dt}$