What is the derivative of y=(100)/(x^4) ?

The derivative of y=(100)/(x^4) is -(400)/(x^5)

What is the first derivative of y=(100)/(x^4) ?

The first derivative of y=(100)/(x^4) is -(400)/(x^5)

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derivative of

y = \frac{100}{x ^{4}}

- \frac{400}{x ^{5}}

Solution steps

\frac{d}{d x} (\frac{100}{x ^{4}})

Take the constant out:

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

= 100 \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

= 100 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= 100 (- 4 x^{- 4 - 1})

Simplify

100 (- 4 x^{- 4 - 1}) : - \frac{400}{x ^{5}}

= - \frac{400}{x ^{5}}

f (x) = 14400 + 600 x + x^{2}

\frac{\partial}{\partial x} (sin (2 x) cos (y))

\frac{d y}{d x} = e^{6 x} + 8 y

\frac{d y}{d x} = 5 x (x - 4)

What is the derivative of y=(100)/(x^4) ?
The derivative of y=(100)/(x^4) is -(400)/(x^5)
What is the first derivative of y=(100)/(x^4) ?
The first derivative of y=(100)/(x^4) is -(400)/(x^5)