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

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

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

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

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derivative of

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

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

Solution steps

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

Apply the Power Rule:

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

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

Simplify

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

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

\int_{0}^{\frac{π}{6}} (9 sec^{2} (x)) d x

\int \frac{1}{7 - 3 x} d x

y^{^{'}} = 9 x + y

(2 e^{y} - x) (\frac{d y}{d x}) = 1

f (x) = - 7 e^{- 3 x} - 6 e^{- 3 x} x

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