Question

[Pham Trong Bach]

Cho hàm số $y={\mathrm{\pi }}^{\mathrm{x}}.{\mathrm{x}}^{\mathrm{\pi }}$. TÍnh đạo hàm y’ của hàm số.

A.  $y\text{'}=x^{\mathrm{\pi }}.{\mathrm{\pi }}^{\mathrm{x}-1}\left(\mathrm{\pi }+\mathrm{xln}\left(\mathrm{\pi }\right)\right)$

B.  $y\text{'}={\mathrm{\pi }}^{\mathrm{x}}.{\mathrm{x}}^{\mathrm{\pi }-1}\left(\mathrm{xln}\left(\mathrm{\pi }\right)-\mathrm{\pi }\right)$

C.  $y\text{'}={\mathrm{\pi }}^{\mathrm{x}}.{\mathrm{x}}^{\mathrm{\pi }-1}\left(\mathrm{xln}\left(\mathrm{\pi }\right)+\mathrm{\pi }\right)$

D.  $y\text{'}={\mathrm{\pi }}^{\mathrm{x}}.{\mathrm{x}}^{\mathrm{\pi }-1}\left(\mathrm{\pi }-\mathrm{xln}\left(\mathrm{\pi }\right)\right)$

Answer 1

[Cao Minh Tâm]

Ta có

y ' = π x ' . x π + π x . x π ' = π x . x π - 1 π + xln π

Đáp án C