3
1 Find the maximum and minimum values, if any, of the following functions
given by
(i) f (x) = (2x – 1)2 + 3
(ii) f (x) = 9x2 + 12x + 2
(iii) f (x) = – (x – 1)2 + 10
(iv) g(x) = x3 + 1
Rationalised 2023-24
APPLICATION OF DERIVATIVES
175
2 Find the maximum and minimum values, if any, of the following functions
given by
(i) f (x) = |x + 2| – 1
(ii) g(x) = – |x + 1| + 3
(iii) h(x) = sin(2x) + 5
(iv) f (x) = |sin 4x + 3|
(v) h(x) = x + 1, x ∈ (– 1, 1)
3 Find the local maxima and local minima, if any, of the following functions