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. $