# Multivariable

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• Students are always sleeping in class... not listening to me... no attention to my lessons
• This teacher is bad! No need to learn!
• I'll sing the chain rule!
• z=f(x(t)y(t)) First derive the equation by both variables dz/dx, dz/dy Then derive the variables each on their own Then you'd take each respective part, take it and multiply dx/dt, dy/dt dz/dt=(dz/dx)(dx/dt)+(dz/dy)(dy/dt) Plug in the variables by their functions And now you achieve the final answer
• (I think it worked! students are coming in to ask me questions)
• How do you do these problems?
• Yay! Hooray! Class is fun! Sing along!
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