On which of the following intervals, the function `x^(100)+sinx-1` is strictly increasing. `(-1,1)` (b) (0,1) `(pi/2,pi)` (d) `(0,pi/2)`

Explanation

Let `f(x)=x^(100)+sinx−1`

`f′(x)=100x^(99)+cosx`

for f(x) to be strictly increasing function

`f′(x)>0⇒100x^(99)+cosx>0
⇒x≥0`

So,function `x^(100)+sinx-1`
is
strictly increasing.
...