What is (\partial)/(\partial x)((0.9x)^{1/2}) ?

The answer to (\partial)/(\partial x)((0.9x)^{1/2}) is (0.47434…)/(x^{1/2)}

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(\partial)/(\partial x)((0.9x)^{1/2})

\frac{\partial}{\partial x} ((0.9 x)^{\frac{1}{2}})

\frac{0.47434 \dots}{x ^{\frac{1}{2}}}

Solution steps

\frac{\partial}{\partial x} ((0.9 x)^{\frac{1}{2}})

Simplify

(0.9 x)^{\frac{1}{2}} : 0.94868 \dots x^{\frac{1}{2}}

= \frac{\partial}{\partial x} (0.94868 \dots x^{\frac{1}{2}})

Take the constant out:

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

= 0.94868 \dots \frac{\partial}{\partial x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= 0.94868 \dots \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

0.94868 \dots \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{0.47434 \dots}{x ^{\frac{1}{2}}}

= \frac{0.47434 \dots}{x ^{\frac{1}{2}}}

4 e^{x} + 1

f (t) = cos (3 t)

\frac{\partial}{\partial z} (e^{\frac{x y}{z}})

\int \frac{( x sin ( x ) + cos ( x ) )}{x ^{2}} d x

x \cdot \frac{d y}{d x} + 2 y = 3 x

What is (\partial)/(\partial x)((0.9x)^{1/2}) ?
The answer to (\partial)/(\partial x)((0.9x)^{1/2}) is (0.47434…)/(x^{1/2)}