Question

If f(x) = $\frac{x}{1 + \tan x}$; x Î (0, p/2) then the function contains –

• A. A point of maxima
• B. A point of minima
• C. Neither maximum nor minimum
• D. ) None of these

Answer 1

Answer: (A)

A point of maxima

Answer 2

As the derivative $\frac{dy}{dx}$ =$\frac{\cos^{2}x - x^{2}}{\cos^{2}x(1 + x\tan x)^{2}}$changes its sign form + ve to –ve point of maximum.