What is the derivative of 32x^{3/2} ?

The derivative of 32x^{3/2} is 48x^{1/2}

What is the first derivative of 32x^{3/2} ?

The first derivative of 32x^{3/2} is 48x^{1/2}

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\frac{d}{d x} (32 x^{\frac{3}{2}})

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

Solution steps

\frac{d}{d x} (32 x^{\frac{3}{2}})

Take the constant out:

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

= 32 \frac{d}{d x} (x^{\frac{3}{2}})

Apply the Power Rule:

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

= 32 \cdot \frac{3}{2} x^{\frac{3}{2} - 1}

Simplify

32 \cdot \frac{3}{2} x^{\frac{3}{2} - 1} : 48 x^{\frac{1}{2}}

= 48 x^{\frac{1}{2}}

y = arctan (- x), at x = 4

\frac{d}{d x} (\frac{1}{2} x - \frac{1}{3})

y = x^{4} e^{2 x}

\frac{d}{d x} (x^{3} - 6 x^{2} - 9)

x \to 0 + lim (\frac{4}{x} - \frac{4}{∣ x ∣})

What is the derivative of 32x^{3/2} ?
The derivative of 32x^{3/2} is 48x^{1/2}
What is the first derivative of 32x^{3/2} ?
The first derivative of 32x^{3/2} is 48x^{1/2}