IIT Free MATH Topics

FACT- Area under the curve x^3 is smaller than the area under the curve x^2 for (0,1)

x^n>x^(n-1) when x€[1,infinite]
x^n

Ans-(a) and (d)

Find domain of y=√1-e^[x]??
Ans-domain of y is all real values of x for which y becomes real
1-e^[x] greater than or equal zero
e^[x]< or equal to 1

The graph of y=-|x| is just opposite of graph of y=|x| both is not differentiable at x=0