Home > APCALC > Chapter 11 > Lesson 11.1.1 > Problem11-12

11-12.

For $f(x) = \sin(x^2)$, determine all of the relative maxima and minima over the interval $[0, 3]$.

$f^\prime(x)=2x\cos(x^2)=0$

$2x=0\text{ or }\cos(x^2)=0$

$x=0\text{ or }x^2=\frac{\pi}{2},\frac{3\pi}{2},\frac{5\pi}{2}$

Continue to solve for $x$. Then determine the corresponding $y$-values.