### Home > APCALC > Chapter 6 > Lesson 6.1.1 > Problem6-14

6-14.

If $f$ is an even function and $f^\prime(0)$ exists, what must $f^\prime(0)$ equal? Draw a diagram to support your conclusions. .

If $f(x)$ is an even function, it has to be symmetrical about the $y$ axis. Knowing this, what must $f^\prime(0)$ equal?

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