Question

calculate y' if y=sprt(x)*cossprt(x)

Answer 1

hello @enicolai

\(\Huge \mathcal{\text{Welcome To OpenStudy}\ddot\smile} \)

Do you know about product and chain rules ?

Answer 2

\[y=\sqrt{x}\cos \sqrt{x}\]
\[\frac{ d }{ dx }\left( uv \right)=uv'+vu'\]

Answer 3

\[\frac{ d }{dx }\sqrt{x}=\frac{ d }{ dx }\left( x \right)^{\frac{ 1 }{2 }}=\frac{ 1 }{2 }x ^{\frac{ 1 }{ 2 }-1}=\frac{ 1 }{ 2 }x ^{\frac{ -1 }{ 2 }}\]