anonymous
  • 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
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
df/dt=partial derivative of f w.r.t x*dx/dt+ partial der of f w.r.t y*dy/dt
anonymous
  • 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.
anonymous
  • anonymous
with respect to

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anonymous
  • anonymous
sinh(e^x+3y) e^x
anonymous
  • anonymous
\[df/dt=\sinh(e^x+3y) *e^x* e^t+\sin(e^x+3y)*3*3\]
anonymous
  • anonymous
ah! thanks! i get it now.

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