Q. For constant $a, \frac{d}{d x} (x^{x} + x^{a} + a^{x} + a^{a})$ is

3010 270 KCETKCET 2021Continuity and Differentiability Report Error

A

$x^{x} (1 + lo g x) + a x^{a - 1}$

15%

B

$x^{x} (1 + lo g x) + a x^{a - 1} + a^{x} lo g a$

40%

C

$x^{x} (1 + lo g x) + a^{a} (1 + lo g x)$

20%

D

$x^{x} (1 + lo g x) + a^{a} (1 + lo g a) + a x^{a - 1}$

25%

Solution:

$\frac{d}{d x} (x^{x} + x^{a} + a^{x} + a^{a})$