IB Calculus Problem 015
Let \(f(x) = 3 \cos 2x + \sin^2 x\).
Show that \(f^\prime(x) = -5 \sin 2x\).
In the interval \(\frac{\pi}{4} \leq x \leq \frac{3\pi}{4}\), a normal to the graph of \(f\) has equation \(x = k\).
Find the value of \(k\).
Let \(f(x) = 3 \cos 2x + \sin^2 x\).
Show that \(f^\prime(x) = -5 \sin 2x\).
In the interval \(\frac{\pi}{4} \leq x \leq \frac{3\pi}{4}\), a normal to the graph of \(f\) has equation \(x = k\).
Find the value of \(k\).