Question

Differentiate f(x) = x3+x2+1/x with respect to x.

Answer 1

by getting the dy/dx of the following expression we get its first derivative as

3x^2 + 2x -x^-2.....

Answer 2

Answer:

$3x^2+2x-x^{-2}$

Step-by-step explanation:

Here, the given function,

$f(x) = x3+x2+\frac{1}{x}$

Or,

$f(x) = x3+x2+x^{-1}$

Differentiating with respect to x,

$\frac{d}{dx}(f(x))=\frac{d}{dx}[ x^3+x^2+x^{-1}]$

$=\frac{d}{dx}(x^3)+\frac{d}{dx}(x^2)+\frac{d}{dx}(x^{-1})$

$=3x^2+2x-x^{-2}$