Applications of...

The function f (x) = m x + c where m, c are constants, is a strict decreasing function for all  x ∈R if

The function f (x) = x² −2x is strict decreasing in the interval

The points on the curve 4 y = |x² −4| at which tangents are parallel to x –axis, are

The maximum value of  

Every continuous function is

The function f(x) = tan⁻¹ x is

For the curve  x = t² −1,y = t² −t tangent is parallel to X –axis where

The slope of the normal to the curvex = a (cos θ+ θsin θ),y = a (sin θ–θcos θ) at any point ‘θ’is

Rolle ’s Theorem is not applicable to the function  f(x) = | x  | for  −2 ⩽x ⩽2 because

Let f (x) = x³ −6x² +9x+8, then f (x) is decreasing in

The equation of the normal to the curve y = sinx at (0, 0) is

The curve y = x^1/5 has at (0, 0)