Fork me on GitHub
Math for the people, by the people.

User login

Derivative of multivariable function

Primary tabs

Derivative of multivariable function

Hello,
I have a function f(t,x1(t),x2(t),x3(t)), what it is the derivtive of f with respect to time t?


Correction to the left side:
By the chain rule (http://planetmath.org/encyclopedia/ChainRuleSeveralVariables.html), you have
df/dt = f'_t+f'_{x_1}df_1/dt+f'_{x_2}dx_2/dt+f'_{x_3}dx_3/dt.
Jussi

By the chain rule (http://planetmath.org/encyclopedia/ChainRuleSeveralVariables.html), you have
df/dx = f'_t+f'_{x_1}df_1/dt+f'_{x_2}dx_2/dt+f'_{x_3}dx_3/dt.
Jussi

Subscribe to Comments for "Derivative of multivariable function"