What is the derivative of 2t^{-1/4} ?

The derivative of 2t^{-1/4} is -1/(2t^{5/4)}

What is the first derivative of 2t^{-1/4} ?

The first derivative of 2t^{-1/4} is -1/(2t^{5/4)}

Popular >

derivative of

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

- \frac{1}{2 t ^{\frac{5}{4}}}

Solution steps

\frac{d}{d t} (2 t^{- \frac{1}{4}})

Take the constant out:

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

= 2 \frac{d}{d t} (t^{- \frac{1}{4}})

Apply the Power Rule:

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

= 2 (- \frac{1}{4} t^{- \frac{1}{4} - 1})

Simplify

2 (- \frac{1}{4} t^{- \frac{1}{4} - 1}) : - \frac{1}{2 t ^{\frac{5}{4}}}

= - \frac{1}{2 t ^{\frac{5}{4}}}

\int \frac{x ^{2}}{e ^{\frac{x}{3}}} d x

5 \cdot t

\int \frac{1}{x ^{2} x ^{2} + 25} d x

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

\frac{4083}{1 + 6.22 e ^{- 0.32 x}}

What is the derivative of 2t^{-1/4} ?
The derivative of 2t^{-1/4} is -1/(2t^{5/4)}
What is the first derivative of 2t^{-1/4} ?
The first derivative of 2t^{-1/4} is -1/(2t^{5/4)}