Base in your question where as to graph y = sin(x^4) and the best answer to that is the following:
y = sin (x^4)
y' = 4 x^3 cos (x^4)
y'(10) = 4000 cos (10000)
cos 10000 = 0.17..... > 0
==> y' > 0
==> increasing
I hope you are satisfied with my answer
