What is the derivative of 2x^{3/4} ?

The derivative of 2x^{3/4} is 3/(2x^{1/4)}

What is the first derivative of 2x^{3/4} ?

The first derivative of 2x^{3/4} is 3/(2x^{1/4)}

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\frac{d}{d x} (2 x^{\frac{3}{4}})

\frac{3}{2 x ^{\frac{1}{4}}}

Solution steps

\frac{d}{d x} (2 x^{\frac{3}{4}})

Take the constant out:

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

= 2 \frac{d}{d x} (x^{\frac{3}{4}})

Apply the Power Rule:

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

= 2 \cdot \frac{3}{4} x^{\frac{3}{4} - 1}

Simplify

2 \cdot \frac{3}{4} x^{\frac{3}{4} - 1} : \frac{3}{2 x ^{\frac{1}{4}}}

= \frac{3}{2 x ^{\frac{1}{4}}}

\frac{\partial}{\partial y} (x y + z^{2})

\int 7 x sec^{2} (x) d x

\int (2 x y) d x

\int 2 e^{- x^{2}} - 1 d x

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

What is the derivative of 2x^{3/4} ?
The derivative of 2x^{3/4} is 3/(2x^{1/4)}
What is the first derivative of 2x^{3/4} ?
The first derivative of 2x^{3/4} is 3/(2x^{1/4)}