फलन \( f(x) = x^3 - 3x + 3 \) का स्थानीय उच्चिष्ठ मान ज्ञात कीजिए।

Using second derivative test \( f''(x) = 6x \), at \( x = -1 \), \( f''(-1) = -6 < 0 \), so local maximum is \( f(-1) = (-1)^3 - 3(-1) + 3 = 5 \).