What is (\partial)/(\partial x)(10x^{0.5}) ?

The answer to (\partial)/(\partial x)(10x^{0.5}) is 5/(x^{0.5)}

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(\partial)/(\partial x)(10x^{0.5})

\frac{\partial}{\partial x} (10 x^{0.5})

\frac{5}{x ^{0.5}}

Solution steps

\frac{\partial}{\partial x} (10 x^{0.5})

Take the constant out:

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

= 10 \frac{\partial}{\partial x} (x^{0.5})

Apply the Power Rule:

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

= 10 \cdot 0.5 x^{0.5 - 1}

Simplify

10 \cdot 0.5 x^{0.5 - 1} : \frac{5}{x ^{0.5}}

= \frac{5}{x ^{0.5}}

\frac{4}{s ^{2}} - \frac{10}{s}

\frac{d}{d x} (\frac{1}{1 + e ^{- x}})

h \to 0 - lim (\frac{2 ^{h} - 1}{h})

x \to 0 lim (- \frac{5}{x})

\int \frac{x + 5}{( x + 3 ) ( x - 1 )} d x

What is (\partial)/(\partial x)(10x^{0.5}) ?
The answer to (\partial)/(\partial x)(10x^{0.5}) is 5/(x^{0.5)}