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

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

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

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

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

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

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

\int θ arcsec (9 θ) d θ

F (r) = \frac{4}{r ^{3}}

\frac{\partial}{\partial x} (x^{8} + y^{9} + z^{3} - 9 x yz)

x^{3} y^{^{'''}} + x y^{^{'}} - y = x^{2}

\int 20 x^{3} (5 x^{4} + 6)^{3} d x

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