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

The derivative of-3x^{3/2} is -(9x^{1/2})/2

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

The first derivative of-3x^{3/2} is -(9x^{1/2})/2

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derivative of

- 3 x^{\frac{3}{2}}

- \frac{9 x ^{\frac{1}{2}}}{2}

Solution steps

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

Take the constant out:

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

= - 3 \frac{d}{d x} (x^{\frac{3}{2}})

Apply the Power Rule:

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

= - 3 \cdot \frac{3}{2} x^{\frac{3}{2} - 1}

Simplify

- 3 \cdot \frac{3}{2} x^{\frac{3}{2} - 1} : - \frac{9 x ^{\frac{1}{2}}}{2}

= - \frac{9 x ^{\frac{1}{2}}}{2}

\frac{d}{d x} (\frac{6}{( 3 - 4 x ) ^{5}})

x y^{2}

x \to 2 lim (\frac{sin ( 4 x - 8 )}{3 x - 6})

\frac{d}{d x} (\frac{( e ^{x} )}{x})

f (x) = e^{x 7 x + 6}

What is the derivative of-3x^{3/2} ?
The derivative of-3x^{3/2} is -(9x^{1/2})/2
What is the first derivative of-3x^{3/2} ?
The first derivative of-3x^{3/2} is -(9x^{1/2})/2