Kuvira J.

asked • 06/10/21

What is the equation the tangent line to the curve 𝑦 = 𝑥^3 − 3𝑥^2 + 5𝑥 , 0 ≤ 𝑥 ≤ 3

Want to Find an equation of the tangent line to the curve 𝑦 = 𝑥 3 − 3𝑥 2 + 5𝑥 , 0 ≤ 𝑥 ≤ 3 that has the least slope.

Given Hint: This is a little bit tricky but consider the first derivative of the function as the equation of the slope as a function of 𝑥 . Finding the point in the curve with the least slope means that one must take the derivative of the slope function and proceed as he/she would solve for critical the point(s).

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