What is the derivative of y=(-10)/(x^4) ?

The derivative of y=(-10)/(x^4) is (40)/(x^5)

What is the first derivative of y=(-10)/(x^4) ?

The first derivative of y=(-10)/(x^4) is (40)/(x^5)

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derivative of

y = \frac{- 10}{x ^{4}}

\frac{40}{x ^{5}}

Solution steps

\frac{d}{d x} (\frac{- 10}{x ^{4}})

Simplify

\frac{- 10}{x ^{4}} : - \frac{10}{x ^{4}}

= \frac{d}{d x} (- \frac{10}{x ^{4}})

Take the constant out:

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

= - 10 \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

= - 10 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= - 10 (- 4 x^{- 4 - 1})

Simplify

- 10 (- 4 x^{- 4 - 1}) : \frac{40}{x ^{5}}

= \frac{40}{x ^{5}}

\frac{d}{d t} (2 t)

\frac{d y}{d x} = y^{2} e^{x} sin (3 x), y (0) = 1

f (x) = \frac{x ^{2} - 4}{x - 4}

\frac{\partial}{\partial x} (e^{(- x^{2} - y^{2})})

x = 4 t^{2} - 3 t + 11

What is the derivative of y=(-10)/(x^4) ?
The derivative of y=(-10)/(x^4) is (40)/(x^5)
What is the first derivative of y=(-10)/(x^4) ?
The first derivative of y=(-10)/(x^4) is (40)/(x^5)