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Popular >

derivative of (sqrt(3x^2)/2)

Solution

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

Solution

\frac{3}{2}

Solution steps

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

Take the constant out:

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

= \frac{1}{2} \frac{d}{d x} (3 x^{2})

Apply the chain rule:

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

= \frac{1}{2 3 x ^{2}} \frac{d}{d x} (3 x^{2})

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

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

Simplify

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

= \frac{3}{2}

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Frequently Asked Questions (FAQ)

What is the derivative of (sqrt(3x^2)/2) ?
The derivative of (sqrt(3x^2)/2) is (sqrt(3))/2
What is the first derivative of (sqrt(3x^2)/2) ?
The first derivative of (sqrt(3x^2)/2) is (sqrt(3))/2