Let \(f(x) = \cos(5x)\cos(3x) - \sin(5x)\sin(3x), 0 \leq x \leq \frac{\pi}{4}\). Then \(f\) attains its minimum at \(x =\)
Define \( f(x) = \begin{cases} x^2 + bx + c, & x< 1 \\ x, & x \geq 1 \end{cases} \). If f(x) is differentiable at x=1, then b−c is equal to