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Câu hỏi: Đạo hàm của hàm số $y={{2}^{\sin \left( x+2022 \right)}}$ là
A. ${y}'=\dfrac{\text{cos}\left( x+2022 \right){{.2}^{\sin \left( x+2022 \right)}}}{\ln 2}$.
B. ${y}'=\dfrac{{{2}^{\sin \left( x+2022 \right)}}}{\ln 2}$.
C. ${y}'=\text{cos}\left( x+2022 \right){{.2}^{\sin \left( x+2022 \right)}}.\ln 2$.
D. ${y}'={{2}^{\sin \left( x+2022 \right)}}.\ln 2$.
A. ${y}'=\dfrac{\text{cos}\left( x+2022 \right){{.2}^{\sin \left( x+2022 \right)}}}{\ln 2}$.
B. ${y}'=\dfrac{{{2}^{\sin \left( x+2022 \right)}}}{\ln 2}$.
C. ${y}'=\text{cos}\left( x+2022 \right){{.2}^{\sin \left( x+2022 \right)}}.\ln 2$.
D. ${y}'={{2}^{\sin \left( x+2022 \right)}}.\ln 2$.
${y}'={{\left( \sin \left( x+2022 \right) \right)}^{\prime }}{{.2}^{\sin \left( x+2022 \right)}}.\ln 2=\text{cos}\left( x+2022 \right){{.2}^{\sin \left( x+2022 \right)}}.\ln 2$
Đáp án C.