What is the derivative of y=5x^{-4} ?

The derivative of y=5x^{-4} is -(20)/(x^5)

What is the first derivative of y=5x^{-4} ?

The first derivative of y=5x^{-4} is -(20)/(x^5)

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derivative of

y = 5 x^{- 4}

- \frac{20}{x ^{5}}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= 5 (- 4 x^{- 4 - 1})

Simplify

5 (- 4 x^{- 4 - 1}) : - \frac{20}{x ^{5}}

= - \frac{20}{x ^{5}}

10 x - 6

\frac{( x + 2 )}{( x - 1 )}

\frac{a}{( a - t ) ^{2}}

cos (6 x + 2)

2 x^{3} + 3

What is the derivative of y=5x^{-4} ?
The derivative of y=5x^{-4} is -(20)/(x^5)
What is the first derivative of y=5x^{-4} ?
The first derivative of y=5x^{-4} is -(20)/(x^5)