What is the derivative of 6x^{-4}+5x^{-2} ?

The derivative of 6x^{-4}+5x^{-2} is -(24)/(x^5)-(10)/(x^3)

What is the first derivative of 6x^{-4}+5x^{-2} ?

The first derivative of 6x^{-4}+5x^{-2} is -(24)/(x^5)-(10)/(x^3)

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derivative of

6 x^{- 4} + 5 x^{- 2}

- \frac{24}{x ^{5}} - \frac{10}{x ^{3}}

Solution steps

\frac{d}{d x} (6 x^{- 4} + 5 x^{- 2})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (6 x^{- 4}) + \frac{d}{d x} (5 x^{- 2})

\frac{d}{d x} (6 x^{- 4}) = - \frac{24}{x ^{5}}

\frac{d}{d x} (5 x^{- 2}) = - \frac{10}{x ^{3}}

= - \frac{24}{x ^{5}} - \frac{10}{x ^{3}}

\int ln (e^{x}) d x

\int \frac{ln ( n )}{n}

\frac{d y}{d x} = x \cdot y + \frac{x}{y}

\int_{1}^{16} x^{\frac{1}{2}} ln (x) d x

f (x) = x^{2} + x - 6

What is the derivative of 6x^{-4}+5x^{-2} ?
The derivative of 6x^{-4}+5x^{-2} is -(24)/(x^5)-(10)/(x^3)
What is the first derivative of 6x^{-4}+5x^{-2} ?
The first derivative of 6x^{-4}+5x^{-2} is -(24)/(x^5)-(10)/(x^3)