What is the derivative of f(x)= 8/(7x^2) ?

The derivative of f(x)= 8/(7x^2) is -(16)/(7x^3)

What is the first derivative of f(x)= 8/(7x^2) ?

The first derivative of f(x)= 8/(7x^2) is -(16)/(7x^3)

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derivative of

f (x) = \frac{8}{7 x ^{2}}

- \frac{16}{7 x ^{3}}

Solution steps

\frac{d}{d x} (\frac{8}{7 x ^{2}})

Take the constant out:

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

= \frac{8}{7} \frac{d}{d x} (\frac{1}{x ^{2}})

Apply exponent rule:

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

= \frac{8}{7} \frac{d}{d x} (x^{- 2})

Apply the Power Rule:

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

= \frac{8}{7} (- 2 x^{- 2 - 1})

Simplify

\frac{8}{7} (- 2 x^{- 2 - 1}) : - \frac{16}{7 x ^{3}}

= - \frac{16}{7 x ^{3}}

f (x) = x^{2} - 2 x + 1

\frac{d}{d x} ((2 x^{2} - 4 x)^{- 2})

x \to \infty lim ((x)^{2})

k = 0 \sum \infty \frac{3 ^{k}}{k !}

\frac{x ^{2} - 3 x + 11}{x ^{2} + x - 3}

What is the derivative of f(x)= 8/(7x^2) ?
The derivative of f(x)= 8/(7x^2) is -(16)/(7x^3)
What is the first derivative of f(x)= 8/(7x^2) ?
The first derivative of f(x)= 8/(7x^2) is -(16)/(7x^3)