- #1
erik05
- 50
- 0
Find the second derivative by implicit differentiation:
[tex] x^3 + y^3 = 6xy [/tex]
Wow, a lengthy question when you have to show all your work. Anyway, for the first derivative I got:
[tex] \frac {2y-x^2}{y^2-2x} [/tex]
How would one start to calculate the second derivative? I tried the Quotient Rule and got:
[tex] \frac {(y^2-2x)(2\frac{dy}{dx}-2x) - (2y-x^2)(2y\frac{dy}{dx}-2x)}{(y^2-2x)^2} [/tex]
I'm not too sure what to do now.Would it be easier to bring the denominator to the top to get [tex] (2y-x^2)(y^2-2x)^-1 [/tex] and then using the chain and product rule? Thanks in advance.
[tex] x^3 + y^3 = 6xy [/tex]
Wow, a lengthy question when you have to show all your work. Anyway, for the first derivative I got:
[tex] \frac {2y-x^2}{y^2-2x} [/tex]
How would one start to calculate the second derivative? I tried the Quotient Rule and got:
[tex] \frac {(y^2-2x)(2\frac{dy}{dx}-2x) - (2y-x^2)(2y\frac{dy}{dx}-2x)}{(y^2-2x)^2} [/tex]
I'm not too sure what to do now.Would it be easier to bring the denominator to the top to get [tex] (2y-x^2)(y^2-2x)^-1 [/tex] and then using the chain and product rule? Thanks in advance.