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Mathematics 64 Online
OpenStudy (anonymous):

let f(x,y) = cosh(e^x + 3y) with x=e^t and y = 3t. Use total derivative rule to compute df/dt for t=0

OpenStudy (anonymous):

df/dt=partial derivative of f w.r.t x*dx/dt+ partial der of f w.r.t y*dy/dt

OpenStudy (anonymous):

sorry, but what is " f w.r.t x"? what would f(x) of cosh(e^x + 3y) be? Is it sinh(e^x) ? thank you.

OpenStudy (anonymous):

with respect to

OpenStudy (anonymous):

sinh(e^x+3y) e^x

OpenStudy (anonymous):

\[df/dt=\sinh(e^x+3y) *e^x* e^t+\sin(e^x+3y)*3*3\]

OpenStudy (anonymous):

ah! thanks! i get it now.

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