What is the derivative of h(x)= 7/(x^2) ?

The derivative of h(x)= 7/(x^2) is -(14)/(x^3)

What is the first derivative of h(x)= 7/(x^2) ?

The first derivative of h(x)= 7/(x^2) is -(14)/(x^3)

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derivative of

h (x) = \frac{7}{x ^{2}}

- \frac{14}{x ^{3}}

Solution steps

\frac{d}{d x} (\frac{7}{x ^{2}})

Take the constant out:

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

= 7 \frac{d}{d x} (\frac{1}{x ^{2}})

Apply exponent rule:

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

= 7 \frac{d}{d x} (x^{- 2})

Apply the Power Rule:

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

= 7 (- 2 x^{- 2 - 1})

Simplify

7 (- 2 x^{- 2 - 1}) : - \frac{14}{x ^{3}}

= - \frac{14}{x ^{3}}

\frac{( s + 1 )}{( s \cdot ( s ^{2} + s + 1 ) )}

n = 5 \sum \infty \frac{1}{2 ^{2 n}}

f (x) = 5 - 8 x^{2}

\frac{d y}{d x} = 7 x y

\frac{d}{d x} (e^{3 x + 2 y})

What is the derivative of h(x)= 7/(x^2) ?
The derivative of h(x)= 7/(x^2) is -(14)/(x^3)
What is the first derivative of h(x)= 7/(x^2) ?
The first derivative of h(x)= 7/(x^2) is -(14)/(x^3)