Question

Let \(f(x) =   \begin{cases}     \tan x,       & if\ 0\leq x\leq \frac{\pi}{4} \\      ax+b,       & if\ \frac{\pi}{4}\lt x\lt \frac{\pi}{2}   \end{cases}\), If f(x) is differentiable at \(x=\frac{\pi}{4}\), then the values of a and b are respectively

• A. \(2,\frac{2-\pi}{2}\)
• B. \(2,\frac{4-\pi}{4}\)
• C. \(1,\frac{-\pi}{4}\)
• D. \(2,\frac{-\pi}{4}\)
• E. 2,1-π

Answer 1

The Correct Option is A

The correct option is (A) : \(2,\frac{2-\pi}{2}\)