What is (\partial)/(\partial x)(x^{3/4}) ?

The answer to (\partial)/(\partial x)(x^{3/4}) is 3/(4x^{1/4)}

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(\partial)/(\partial x)(x^{3/4})

\frac{\partial}{\partial x} (x^{\frac{3}{4}})

\frac{3}{4 x ^{\frac{1}{4}}}

Solution steps

\frac{\partial}{\partial x} (x^{\frac{3}{4}})

Apply the Power Rule:

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

= \frac{3}{4} x^{\frac{3}{4} - 1}

Simplify

\frac{3}{4} x^{\frac{3}{4} - 1} : \frac{3}{4 x ^{\frac{1}{4}}}

= \frac{3}{4 x ^{\frac{1}{4}}}

e^{x} - x

2 x

y^{'} = (y - 1)^{2} x^{3}

e^{x} (9 - 5 x + 5 x^{2})

\frac{d}{d x} (cos (- \frac{x}{3}))

What is (\partial)/(\partial x)(x^{3/4}) ?
The answer to (\partial)/(\partial x)(x^{3/4}) is 3/(4x^{1/4)}