Question

if x^5 +x^2y +7y^2 = 15, find y' by implicit differentiation.
y'=

Answer 1

have you tried taking the derivative yet?
If so what did you get?

Answer 2

\[\large x^5 +x^2y +7y^2 = 15\ \ or\ \ \large x^5 +x^{2y} +7y^2 = 15\ ??\]

Answer 3

the 1st one

Answer 4

\[x^5 +x^2y +7y^2 = 15\] Differentiating both sides:\[\large 5x^4+2xy+x^2 \cdot y'+14y \cdot y'=0\]

Answer 5

\[\large \implies\left( x^2+14y \right)y'=-\left( 5x^4+2xy \right)\]
\[\Large \implies y'=-{5x^4+2xy \over x^2+14y}\]

Answer 6

thankss

Answer 7

http://www.wolframalpha.com/input/?i=differentiate+x^5+%2Bx^2y+%2B7y^2+%3D+15