What is the derivative of 6x^{3/2} ?

The derivative of 6x^{3/2} is 9x^{1/2}

What is the first derivative of 6x^{3/2} ?

The first derivative of 6x^{3/2} is 9x^{1/2}

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derivative of

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

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

Solution steps

\frac{d}{d x} (6 x^{\frac{3}{2}})

Take the constant out:

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

= 6 \frac{d}{d x} (x^{\frac{3}{2}})

Apply the Power Rule:

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

= 6 \cdot \frac{3}{2} x^{\frac{3}{2} - 1}

Simplify

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

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

x \to \infty lim (0.9 9^{x})

\frac{d}{d t} (a t e^{t})

3 x y^{2} y^{^{'}} + 3 y^{3} = 1

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

\frac{d}{d x} (1 + x^{2} + x^{6})

What is the derivative of 6x^{3/2} ?
The derivative of 6x^{3/2} is 9x^{1/2}
What is the first derivative of 6x^{3/2} ?
The first derivative of 6x^{3/2} is 9x^{1/2}