The equation of a curve is $y=x^3+4x^2+kx+3$, where $k$ is a constant. Find the set of values of

Question

The equation of a curve is $y=x^3+4x^2+kx+3$, where $k$ is a constant. Find the set of values of $k$ for which the curve is always an increasing function.

Accepted Answer

$k\ge\dfrac{16}{3}$.

Differentiation - Increasing and Decreasing Functions

Differentiation - Increasing and Decreasing Functions

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