Question

Compute the derivative of $6x^{100}-x^{55}+x$.

• A. $x^{99}-x^{54}+1$
• B. $100x^{99}-55x^4+1$
• C. $600x^{99}-55x^{54}+1$
• D. None of these

Answer 1

Answer: (C)

Let $f(x)=6x^{100}-x^{55}+x$
$\therefore f^{\prime }\left(x\right)=6\times 100x^{99}-55x^{54}+1$
$=600x^{99}-55x^{54}+1$