What is the derivative of 1/(2x^2) ?

The derivative of 1/(2x^2) is -1/(x^3)

What is the first derivative of 1/(2x^2) ?

The first derivative of 1/(2x^2) is -1/(x^3)

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derivative of

\frac{1}{2 x ^{2}}

- \frac{1}{x ^{3}}

Solution steps

\frac{d}{d x} (\frac{1}{2 x ^{2}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{2} \frac{d}{d x} (\frac{1}{x ^{2}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= \frac{1}{2} \frac{d}{d x} (x^{- 2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{1}{2} (- 2 x^{- 2 - 1})

Simplify

\frac{1}{2} (- 2 x^{- 2 - 1}) : - \frac{1}{x ^{3}}

= - \frac{1}{x ^{3}}

(1 - t^{2}) y^{^{''}} + 2 t y^{^{'}} - 2 y = 0

f (x) = x^{2} - 3 x + 5, at x = - 2

9 - x

tan^{2} (8 θ)

\frac{d}{d x} (2 ln (1 + x^{2}))

What is the derivative of 1/(2x^2) ?
The derivative of 1/(2x^2) is -1/(x^3)
What is the first derivative of 1/(2x^2) ?
The first derivative of 1/(2x^2) is -1/(x^3)