Let f `(x) =x^(3)`. Find the intervals of monotonicity.

f(x)=x-sin x. Find the intervals of monotonicity.

Let f(x)=x- sinx. Find the intervals of monotonicity.

Let f(x)=x- sinx. Find the intervals of monotonicity.

For the function f(x)=4x^(3)+3x^(2)-6x+1 find the intervals of monotonicity, local extrema, intervals of concavity and points of inflection.

The graph of the derivative f of a continuous function fis~ shown with f(0)=0, then for f(x) find (i) Intervals of monotonicity (ii) Intervals of concavity

Let f(x) =x^(3)-3x +2. Examine the monotonicity of function at points x=0.1,2

Let f(x) =x^(3)-3x +2. Examine the monotonicity of function at points x=0.1,2

Let f(x)=x^(2)+x be defined on the interval [0,2). Find the odd and even extensions of f(x) in the interval [-2,2] .