Let `f(x)={x^(3/5),ifxlt=1and (x-2)^3,ifx >1` Then the number of critical points on the graph of the function is___

Draw the graph of the function: f(x)=||x-2|-3|

The critical points of the function f(x)=(x-2)^(2/3)(2x+1) are

Draw the graph of the function: f(x)=|x^2-3|x|+2|

Draw the graph of the function: f(x)=-|x-1|^(1/2)

Draw the graph of the function f(x) = (1+1/x)^(2)

Find the points of discontinuity of the function: f(x)=1/(x^2-3|x|+2)

Let f(x)=x^(3)+x+1 and let g(x) be its inverse function then equation of the tangent to y=g(x) at x = 3 is

Let f be a twice differentiable function such that f''(x)gt 0 AA x in R . Let h(x) is defined by h(x)=f(sin^(2)x)+f(cos^(2)x) where |x|lt (pi)/(2) . The number of critical points of h(x) are

Find the critical points(s) and stationary points (s) of the function f(x)=(x-2)^(2//3)(2x+1)

For x in R-{0,1}, " let " f_(1)(x)=(1)/(x), f_(2)(x)=1-x and f_(3)(x)=(1)/(1-x) be three given functions. If a function, J(x) satisfies (f_(2) @J@f_(1))(x)=f_(3)(x), " then " J(x) is equal to