Question

how to solve d/dx(1-sinx)?

Answer 1

\[
\frac{d}{dx}(1-\sin(x)) = \frac{d}{dx}(1) - \frac{d}{dx}(\sin (x))
\]

Answer 2

\[\frac{ d (1-sinx)}{ dx }=\frac{ d (1) }{ dx } - \frac{ d sinx }{ dx }=0-cosx\]