Question

What is the derivative of f(x)=cos(x)sin(x) ?

Answer 1

What's your thought?

Answer 2

\[cosx \frac{ d }{ dx } sinx + sinx \frac{ d }{ dx }cosx\]

Answer 3

sin(2x) = 2cos(x)sin(x)
so, cos(x)sin(x) = \(\frac{sin2x}{2}\)
Therefore,
\[\frac{d}{dx} cos(x)sin(x)\]\[=\frac{d}{dx} \frac{sin(2x)}{2}\]\[=...\]

Answer 4

^ both ways are actually correct because they are equal! Something cool to think about