What is the derivative of f(x)=5x^{-15} ?

The derivative of f(x)=5x^{-15} is -(75)/(x^{16)}

What is the first derivative of f(x)=5x^{-15} ?

The first derivative of f(x)=5x^{-15} is -(75)/(x^{16)}

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derivative of

f (x) = 5 x^{- 15}

- \frac{75}{x ^{16}}

Solution steps

\frac{d}{d x} (5 x^{- 15})

Take the constant out:

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

= 5 \frac{d}{d x} (x^{- 15})

Apply the Power Rule:

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

= 5 (- 15 x^{- 15 - 1})

Simplify

5 (- 15 x^{- 15 - 1}) : - \frac{75}{x ^{16}}

= - \frac{75}{x ^{16}}

f (t) = 1 - cos (t)

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

\frac{d}{d x} (tan (x) + x^{4})

\int arcsin (x) d x

y^{^{''}} - 2 y^{^{'}} + 26 y = 0, y (0) = 2, y^{^{'}} (0) = 5

What is the derivative of f(x)=5x^{-15} ?
The derivative of f(x)=5x^{-15} is -(75)/(x^{16)}
What is the first derivative of f(x)=5x^{-15} ?
The first derivative of f(x)=5x^{-15} is -(75)/(x^{16)}