What is (\partial)/(\partial x)(11238x^{-0.852}) ?

The answer to (\partial)/(\partial x)(11238x^{-0.852}) is -(9574.776)/(x^{1.852)}

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(\partial)/(\partial x)(11238x^{-0.852})

\frac{\partial}{\partial x} (11238 x^{- 0.852})

- \frac{9574.776}{x ^{1.852}}

Solution steps

\frac{\partial}{\partial x} (11238 x^{- 0.852})

Take the constant out:

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

= 11238 \frac{\partial}{\partial x} (x^{- 0.852})

Apply the Power Rule:

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

= 11238 (- 0.852 x^{- 0.852 - 1})

Simplify

11238 (- 0.852 x^{- 0.852 - 1}) : - \frac{9574.776}{x ^{1.852}}

= - \frac{9574.776}{x ^{1.852}}

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What is (\partial)/(\partial x)(11238x^{-0.852}) ?
The answer to (\partial)/(\partial x)(11238x^{-0.852}) is -(9574.776)/(x^{1.852)}