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

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

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

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

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derivative of

t^{\frac{1}{4}}

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

Solution steps

\frac{d}{d t} (t^{\frac{1}{4}})

Apply the Power Rule:

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

= \frac{1}{4} t^{\frac{1}{4} - 1}

Simplify

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

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

\frac{d}{d r} (r^{3} - r^{2})

d er i v a t i v e x = 5 t^{2} - 2 t + 7

d er i v a t i v e (\frac{1}{5})^{x}

d er i v a t i v e y = x^{3} + 2 x - 1

d er i v a t i v e a^{\frac{1}{x}}

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