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Implicit Differentiatoin question

  • #1
Hello all.
I am given the equation [tex] (x^3 y^4)^5 = x-y [/tex]

my derivative is [tex] 1/ (15x^2 20y^3(x^3y^4)^4)=y' [/tex]

But the book says: [tex] y'=(1-15x^14y^20)/(1+20x^15y^19)[/tex]

Where did I go wrong?

Thanks so much
Chris
 

Answers and Replies

  • #2
Tide
Science Advisor
Homework Helper
3,076
0
You didn't differentiate the left side correctly. Try again.
 
  • #3
Fermat
Homework Helper
872
1
compute_a_nerd said:
...

But the book says: [tex] y'=(1-15x^14y^20)/(1+20x^15y^19)[/tex]

...
Chris
You need to put curly brackets around all of your power if there is more than one character involved - like so,

[tex] y'=(1-15x^{14}y^{20})/(1+20x^{15}y^{19})[/tex]
 

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