### Home > CALC > Chapter 6 > Lesson 6.1.1 > Problem 6-14

6-14.

If *f*(*x*) is an even function and *f* ′(0) exists, what must *f* ′(0) equal? Draw a diagram to support your conclusions. Homework Help ✎

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

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