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-- Mathematics - Section A
Applications of Derivatives
If $f(x)=x^5-5x^4+5x^3-10$ has local max. and min. at x = p and x = q, then (p, q) =
(0, 1)
(1, 3)
(1, 0)
None
$f'(x)=5x^4-20x^3+15x^2=5x^2(x^2-4x+3)=5x^2[(x-3)(x-1)]$
Maximum at 1 and minimum at 3 ⇒ p = 1, q = 3