एक कोण θ, जहाँ 0 < θ < π2, जो अपनी ज्या (sine) की तुलना में दोगुनी तेजी से बढ़ता है, वह है:

The function f(x) = (x + 1)(x - 2)2 has a local minimum at x equal to:

The slope of the normal to the curve y = xx+2 at x = 1 is:

Given that the radius of a circle is increasing at a constant rate of 1 cm/s, what is the instantaneous rate at which the circle's area is increasing when the radius measures 5 cm?