Consider f(x)=∣x∣3f(x) = |x|^3f(x)=∣x∣3. At x=0x=0x=0, which derivative exists?
Only f(0)f(0)f(0)
f′(0)f'(0)f′(0) and f′′(0)f''(0)f′′(0)
f′(0),f′′(0),f′′′(0)f'(0), f''(0), f'''(0)f′(0),f′′(0),f′′′(0)
None