Find an Equation of the Tangent Line to the Curve $y-\ln \left(x^{7}+y^{7}\right)=0$

question 7

Short Answer

Find an equation of the tangent line to the curve $y-\ln \left(x^{7}+y^{7}\right)=0$ at $(1,0)$ .

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Definitions:

Acetic Acid

An organic compound with the formula CH3COOH, known as the main component of vinegar besides water.

Line-Angle Formula

A simplified diagrammatic method of representing organic molecules, where lines represent bonds and the ends of lines or vertices represent carbon atoms, with heteroatoms (non-carbon atoms) usually labeled.

Compound

A compound consisting of two or more elements that are chemically united in a constant ratio.

Line-Angle Formula

A simplified representation of organic molecules where lines represent bonds between atoms, and atom junctions or the ends of lines represent carbon atoms.