Separate the intervals of concavity of the following functions
(i) f(x)=`sin^(-1)x`,(ii) f(x)=x+sinx

Separate the intervals of monotonicity of the following functions : f(x) = -sin^(3)x + 3 sin^(2)x + 5, x in [-pi//2, pi//2]

Separate the intervals of monotonicity of the following functions : f(x) = (2^(x) - 1)(2^(x) - 2)^(2)

Find the domain of each of the following functions: f(x)=sin^(-1)x^2 (ii) f(x)=sin^(-1)x+sinx

Separate the intervals of monotonocity for the function f(x)=x^(2)e^(-x)

Separate the intervals of monotonicity for the following functions. f(x) = sin x + cos x, x in (0, 2pi)

Separate the intervals of monotonocity for the function f(x)=x^2e^(-x)

Separate the intervals of monotonocity for the function f(x)=x^2e^(-x)

Separate the intervals of monotonocity for the function f(x)=x^2e^(-x)

Find the domain of each of the following functions: f(x)=sin^(-1)x^(2) (ii) f(x)=sin^(-1)x+sin x