# Finding the tangent to a curve. Picture included.

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Find an equation of the tangent line to the curve

Y= x3 - 3x2 + 5x

that has the least slope.

Â© BrainMass Inc. brainmass.com May 24, 2023, 12:54 pm ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/finding-the-tangent-to-a-curve-picture-included-5407

#### Solution Preview

Equation of the curve: y = x^3 - 3x^2 + 5x

The slope m = dy/dx = 3x^2 - 6x + 5

m = 3x^2 - 6x + 5

To get the least slope, differentiate it with respect to x and ...

#### Solution Summary

The smallest slope tangent to a line is found. A picture is included.

$2.49