What is the derivative of-7/(x^4) ?

The derivative of-7/(x^4) is (28)/(x^5)

What is the first derivative of-7/(x^4) ?

The first derivative of-7/(x^4) is (28)/(x^5)

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\frac{d}{d x} (- \frac{7}{x ^{4}})

\frac{28}{x ^{5}}

Solution steps

\frac{d}{d x} (- \frac{7}{x ^{4}})

Take the constant out:

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

= - 7 \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

= - 7 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= - 7 (- 4 x^{- 4 - 1})

Simplify

- 7 (- 4 x^{- 4 - 1}) : \frac{28}{x ^{5}}

= \frac{28}{x ^{5}}

y = \frac{x}{x - 1}

\int_{0}^{1} 1 - x^{\frac{2}{5}} d x

f (x) = x^{3} - x^{2} - x, g (x) = x

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

\frac{d y}{d t} = 0.04 y (400 - y)

What is the derivative of-7/(x^4) ?
The derivative of-7/(x^4) is (28)/(x^5)
What is the first derivative of-7/(x^4) ?
The first derivative of-7/(x^4) is (28)/(x^5)