I'm having some trouble with the terminology used in calculus.(adsbygoogle = window.adsbygoogle || []).push({});

My book states:"Fortunately we don't need to solve an equation for Y in terms of X in order to find the derivative of Y. Instead we can use the method of implicit differentiation. This consists of differentiating both sides of the equation with respect to X and then solving the resulting equation for Y'."

And:"In the examples and exercises of this section it is always assumed that the given equation determines Y implicitly as a differentiable function of X so that the method of implicit differentiation can be applied."

I don't quite understand what they are telling me here. What does"differentiating with respect to X"and"Y as a differentiable function of X"mean?

If it helps explain the above, here's an example equation from the section: X^{2}+Y^{2}= 25

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

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

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

# Implicit Differentiation: Differentiating in Terms of X

Loading...

Similar Threads - Implicit Differentiation Differentiating | Date |
---|---|

B Implicit Differentiation | Jun 12, 2017 |

B Implicit differentiation or just explicit? | Mar 26, 2017 |

I Implicit differentiation | Dec 12, 2016 |

I Implicit differentiation | Sep 29, 2016 |

B (ASK) Implicit Differentiation | Aug 17, 2016 |

**Physics Forums - The Fusion of Science and Community**