If, with y a function of x, I have the equation x(adsbygoogle = window.adsbygoogle || []).push({}); ^{2}-5xy+3y^{2}= 7, then by implicit differentiation, I get that dy/dx = (2x-5y)/(5x-6y). This equals zero everywhere on the straight line y=(2/5)x except at the origin. This would seem to indicate stationary points everywhere on that line, which is hard to imagine, and anyway the graph of this equation seems to be a hyperbola, having no stationary points. Obviously I am missing something very basic here. Any help would be appreciated.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Implicit differentiation gives too many stationary points

Loading...

Similar Threads for Implicit differentiation gives |
---|

B When do we use which notation for Delta and Differentiation? |

B Product rule OR Partial differentiation |

A Differential operator, inverse thereof |

I Differentiation of sin function where's my mistake? |

B Implicit Differentiation |

**Physics Forums | Science Articles, Homework Help, Discussion**