Let . Which of the following correctly gives and its…

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

Let

f(x)=x^{2}+\dfrac{1}{x}

. Which of the following correctly gives

f'(x)

and its domain? (a)

f'(x)=2x+\dfrac{1}{x^{2}}

, domain

x\neq 0

(b)

f'(x)=2x-\dfrac{1}{x^{2}}

, domain

x\neq 0

(c)

f'(x)=2x-\dfrac{1}{x}

, domain

x\neq 0

(d)

f'(x)=2x-\dfrac{1}{x^{2}}

, domain

x>0