Maximizing Slope: Solving for Tangent Line on y=1+40x^3-3x^5 Curve

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Homework Statement



At which points on the curve y=1 + 40x^3 - 3x^5 does the tangent line have th largest slope?

Homework Equations



derivative is 120x^2-15x^4...

The Attempt at a Solution



how should i do this? start by setting the derivative equal to zero to find critical #s, but then what?
 
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It asks you to maximize the slope of the tangent line = to maximize the first derivative.
 

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