Homework Help: CALCULUS DERIVATIVES CONTINUITY

Posted by NEED HELP NOW on Thursday, May 31, 2012 at 5:11pm.

Let f be the function defined by the piecewise function:
f(x) = x^3 for x less than or equal to 0
x for x greater than 0
Which of the following is true?

a) f is an odd function
b) f is discontinuous at x=0
c) f has a relative maximum
d) f'(0) = 0
e) f'(x) > 0 for (x is not 0)

I strongly believe that a, b, and c are not the correct answer.

CALCULUS DERIVATIVES CONTINUITY - NEED HELP NOW, Thursday, May 31, 2012 at 5:14pm
I think it would be e considering the fact that when you take the derivative, you get 3x^2 and 1, an when you input zero for both of these, there is a jump discontinuity. Is this right?
CALCULUS DERIVATIVES CONTINUITY - Damon, Thursday, May 31, 2012 at 5:27pm
I agree with e

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