- #1

KMcFadden

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## Homework Statement

y = 2x arccos 3x Find the derivative. Can be left unsimplified.

## Homework Equations

## The Attempt at a Solution

y = 2x arccos 3x

y = 2x arccos (u) u = 3x

dy/du = d/dx(2x)arccos (u) + 2x[d/dx(arccos (u)] du/dx = 3

dy/du = 2arccos(u) + 2x[-1/sqrt of (1-u^2)]

dy/dx = 2arccos(3x) + 2x[-1/sqrt of (1-(3x)^2)](3)

dy/dx = 2arccos(3x) - [2x/sqrt of (1-(3x)^2)](3)

dy/dx = 6arccos(3x) - [2x/sqrt of (1-(3x)^2)]