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

The derivative of y=2x^{-3/4} is -3/(2x^{7/4)}

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

The first derivative of y=2x^{-3/4} is -3/(2x^{7/4)}

Popular >

derivative of

y = 2 x^{- \frac{3}{4}}

- \frac{3}{2 x ^{\frac{7}{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 (- \frac{3}{4} x^{- \frac{3}{4} - 1})

Simplify

2 (- \frac{3}{4} x^{- \frac{3}{4} - 1}) : - \frac{3}{2 x ^{\frac{7}{4}}}

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

t \to 0 lim (\frac{t ^{2} + 9 - 3}{t ^{2}})

\int \frac{1}{2 x - 1} - \frac{1}{2 x - 1} d x

x y^{^{'}} = \frac{x ^{3} cos ( 2 x )}{y} + y

\frac{d}{d x} (\frac{x - 5}{8 x})

y = \frac{( x + 8 )}{( x - 4 )}

What is the derivative of y=2x^{-3/4} ?
The derivative of y=2x^{-3/4} is -3/(2x^{7/4)}
What is the first derivative of y=2x^{-3/4} ?
The first derivative of y=2x^{-3/4} is -3/(2x^{7/4)}