# Tangent Line to a Curve

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Find an equation of the tangent line to the curve,

Y = x^3 - 3x^2 + 5x

that has the least slope. Make sure to show all of the required steps.

Â© BrainMass Inc. brainmass.com May 24, 2023, 12:54 pm ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/tangent-line-curve-5394

#### Solution Preview

Let's assume that the curve goes through a point (x0,y0). So the equation of the tangent line to the curve is y-y0=Y`(x0)(x-x0). y` is the derivation function and we easily know ...

#### Solution Summary

In about 120 words, this solution discusses the concept of finding the least slope. This solution begins by stating assumptions about the curve and then uses this to find the first derivation and then solve.

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