How do you find the derivative of $\frac{3}{x^{2}}$ $3/x^2$ ?

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How do you find the derivative of $\frac{3}{x^{2}}$ $3/x^2$ ?

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Answer 1 · 2016-02-25T21:57:48

$- \frac{6}{x^{3}}$ $-6/x^3$

Explanation:

write $\frac{3}{x^{2}} as 3 x^{- 2}$ $3/x^2 " as " 3x^(-2)$

using the $power rule$ $color(blue)" power rule "$

$\frac{d}{d x} (a x^{n}) = n a x^{n - 1}$ $d/dx(ax^n) = nax^(n-1)$

$\Rightarrow \frac{d}{d x} (3 x^{- 2}) = - 2 \times 3 x^{- 3} = - \frac{6}{x^{3}}$ $rArr d/dx(3x^(-2)) = -2xx3x^(-3) = -6/x^3$

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How do you find the derivative of $\frac{3}{x^{2}}$ $3/x^2$ ?

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