1. Applications of Differentiation of Polynomials: Stationary Points
Find the coordinates of the stationary points of each of the following functions and determine
their nature:
a f(x) = 3x2 − 12x + 5
b f(x) = −x2 − 4x + 8
c f(x) = 2x2 − 4
d f(x) = −3x2 + 6x + 4
e f(x) = 4x3 + 6x2 − 72x + 48
f f(x) = 2x3 − 21x2 + 60x +20
g f(x) = x3 − 6x2 + 12x − 3
h f(x) = x3 + 12x2 + 48x
i f(x) = − x2 (x− 3)
j f(x) = (x − 1)2 (x − 4)
k f(x) = +x
l f(x) = x4 + 32x − 20
m f(x) = + 2x − 3
n f(x) = f(x) =