What is the derivative of 70x^{-5} ?

The derivative of 70x^{-5} is -(350)/(x^6)

What is the first derivative of 70x^{-5} ?

The first derivative of 70x^{-5} is -(350)/(x^6)

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derivative of

70 x^{- 5}

- \frac{350}{x ^{6}}

Solution steps

\frac{d}{d x} (70 x^{- 5})

Take the constant out:

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

= 70 \frac{d}{d x} (x^{- 5})

Apply the Power Rule:

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

= 70 (- 5 x^{- 5 - 1})

Simplify

70 (- 5 x^{- 5 - 1}) : - \frac{350}{x ^{6}}

= - \frac{350}{x ^{6}}

\int \frac{x ^{2}}{( a + b x ^{3} ) ^{2}} d x

x \to 0 + lim ((tan (7 x))^{x})

(2 y^{2} + 3 x) d x + 4 x y d y = 0

\int \frac{x ^{3} - 3 x + 4}{x} d x

\int_{- 2}^{2} y^{2} - 4 d y

What is the derivative of 70x^{-5} ?
The derivative of 70x^{-5} is -(350)/(x^6)
What is the first derivative of 70x^{-5} ?
The first derivative of 70x^{-5} is -(350)/(x^6)