`x gt -3`.

Solver sin^(-1) x gt -1

Solve tan^(3) x+3 gt 3tan x+tan^(2) x .

Solve the inequalities 3x - 7 gt 2 (x-6) , 6-x gt 11-2x

Differentiate the following w.r.t. x : sqrt((3)^(sqrt(x))),x gt 0 .

Find the term independent of x in the expansion of (root3x + 1/(2root3x))^(18) , x gt 0 .

Differentiate w.r.t.x the function. x^(x)+x^(a)+a^(x)+a^(a) , for some fixed a gt 0" and "x gt 0 .

Disprove , by ind a suitable counter example , the statement x^(2) gt y^(2) for all x gt y .

Find the number of solutions to cos x = (x)/(10), x gt 0.

Discuss the monotonicity and local extrema of the function f(x)=log (1+x)-(x)/(1+x), x gt -1 and hence find the domain where, log (1+x) gt (x)/(1+x)

Solve |x^2-1|+x^2-4| gt 3