What is the derivative of 14x^{1/4} ?

The derivative of 14x^{1/4} is 7/(2x^{3/4)}

What is the first derivative of 14x^{1/4} ?

The first derivative of 14x^{1/4} is 7/(2x^{3/4)}

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derivative of

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

\frac{7}{2 x ^{\frac{3}{4}}}

Solution steps

\frac{d}{d x} (14 x^{\frac{1}{4}})

Take the constant out:

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

= 14 \frac{d}{d x} (x^{\frac{1}{4}})

Apply the Power Rule:

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

= 14 \cdot \frac{1}{4} x^{\frac{1}{4} - 1}

Simplify

14 \cdot \frac{1}{4} x^{\frac{1}{4} - 1} : \frac{7}{2 x ^{\frac{3}{4}}}

= \frac{7}{2 x ^{\frac{3}{4}}}

x \to 0 lim (f (x) (x + 1))

1 - e^{2 t}

\frac{1}{( s ^{2} + 6 s + 10 )}

\frac{d}{d t} (e^{2 t} sin (4 t))

2 x^{2} e^{x}

What is the derivative of 14x^{1/4} ?
The derivative of 14x^{1/4} is 7/(2x^{3/4)}
What is the first derivative of 14x^{1/4} ?
The first derivative of 14x^{1/4} is 7/(2x^{3/4)}