Applications of derivatives

9000145409

Level: 
C
Identify a true statement on the function \(f(x) = 1 + 2x^{2} -\frac{1} {4}x^{4}\).
The global maximum of \(f\) on \(\mathbb{R}\) is at \(x = 2\) a \(x = -2\).
The function \(f\) has a global minimum on \(\mathbb{R}\).
The function \(f\) has a local maximum at \(x = 0\).
The function \(f\) has neither local minimum nor maximum.