Differentiation Question 314

Question: Derivative of $ x^{6}+6^{x} $ with respect to x is

[Kerala (Engg.) 2002]

Options:

A) $ 12x $

B) $ x+4 $

C) $ 6x^{5}+6^{x}\log 6 $

D) $ 6x^{5}+x{6^{x-1}} $

Show Answer

Answer:

Correct Answer: C

Solution:

Let $ f(x)=x^{6}+6^{x} $ . Then $ {f}’(x)=6x^{5}+6^{x}\log 6. $