List of top Mathematics Questions on Application of derivatives asked in AMUEEE

The function $ f(x) = cos^2x $ is strictly decreasing on

The sum of two numbers is $10$. Their product will be maximum when they are

The maximum value of $ \frac{log x}{x} $ is

If $ p,q $ are positive real numbers such that $ pq = 1 $ , then the least value of $ (1 + p) (1 + q) $ is

The fixed point $P$ on the curve $ y = x^2 - 4x + 5 $ such that the tangent at $ P $ is perpendicular to the line $ x + 2y = 7 $ is given by

For the function $ f(x) = \frac {4}{3} x^3-8x^2+16x+5, $ $ x = 2\,is \,a\,point\, of $