### Home > APCALC > Chapter 7 > Lesson 7.4.1 > Problem7-180

7-180.

Without actually using Euler’s Method, determine if it will produce an underestimate or an overestimate to the solution of $\frac { d y } { d x }= 3x^2$ based on the second derivative at $x = 3$, $x = 0$, and $x = -3$.

If the second derivative is positive, then tangent lines are under the curve.
If the second derivative is negative, then tangent lines are over the curve.
What does this have to do with Euler's Method?