if `f(x)={x^3 x<0 3a+x^2 x≥0` is continuous at x = 0 , then a is

Discuss the differentiability of f(x)=|x^3| at x=0

Draw the graph of the function f :R to R defined by f(x) =x^3 , x in R find its domain and range

Find the inverse of the function: f(x)={x^3-1, ,x<2 x^2+3,xgeq2

Find the local extremum of the function f(x) = x^(3) - 12x

If f(x)=x^(2)-3x , then the points at which f(x) = f'(x) are :

If f(x)=x^(2)-3x , then the points at which f(x)=f'(x) are

Let the function f(x) be defined as follows: f(x)={x^(3)+x^(2)-10x,-1lexle0 cosx,0lexlepi//2 1+sin x, pi//2 lexlepi

If f(x)=x^3-3x^2+2x+a is divisible by x-1, then find the remainder when f(x) is divided by x-2.

Prove that the function given by f(x) = x^(3) – 3x^(2) + 3x – 100 is increasing in R.