- #1

Drakkith

Staff Emeritus

Science Advisor

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## Homework Statement

Find an equation of the tangent line to the curve at the given point.

## Homework Equations

y=x

^{¼}Point = (1,1)

## The Attempt at a Solution

[/B]

Derivative of y is y' = ¼x

^{-¾}

Plugging in the derivative to the equation for a line: y-1=¼(x-1)

^{-¾}.

My book's answer is Y=¼x+¾, but I don't know how they got there. Expanding ¼(x-1)

^{-¾}gives me a nasty fraction with a radical that doesn't seem to come out to equal ¼x+¾. I'm not sure what to do next here.