anonymous
  • anonymous
what is the first partial dervative of f(x,y)=x^y to the respect of y
Mathematics
katieb
  • katieb
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myininaya
  • myininaya
treat x like a contstant what is the derivative of f(y)=3^y lnf(y)=ln3^y lnf(y)=yln3 f'(y)/f(y)=ln3 f'(y)=ln3*f(y) f'(y)=ln3*3^y so if we have f(x,y)=x^y, then f_y=lnx*x^y
myininaya
  • myininaya
brb i have to brush my teeth
anonymous
  • anonymous
lnf(y)=yln3,f'(y)/f(y)=ln3 how this step is pertformed?

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myininaya
  • myininaya
i took derivative of both sides
myininaya
  • myininaya
what is the derivative of f(x)=ln(x^2-1)
myininaya
  • myininaya
f'(x)=(x^2-1)'/(x^2-1)=2x/(x^2-1)
anonymous
  • anonymous
that sounds about right. i am going to try it out
myininaya
  • myininaya
yay fun
anonymous
  • anonymous
thank you
myininaya
  • myininaya
great! i'm glad it worked out for you
myininaya
  • myininaya
who gave me that medal? thanks whoever lol

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