Question

Asked Sep 26, 2019

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Let e^{xy} = 2x + 4y + 2.

Use implicit differentiation to find the derivative of y with respect to x.

dy |

dx |

=

x^{A} y^{B} e^{xy} − C |

D − x^{F} y^{G} e^{xy} |

^{ }, where

A =

B =

C =

D =

F =

G =

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Step 1

Given:

Step 2

In implicit differentiation, we differentiate each side of an equation by treating one of the variables as a function of the other. We treat y as an implicit function of x.

Step 3

Now differentiate both side...

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