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Popular >

derivative of 3sqrt(2x-5)

Solution

\frac{d}{d x} (3 2 x - 5)

Solution

\frac{3}{2 x - 5}

Solution steps

\frac{d}{d x} (3 2 x - 5)

Take the constant out:

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

= 3 \frac{d}{d x} (2 x - 5)

Apply the chain rule:

\frac{1}{2 2 x - 5} \frac{d}{d x} (2 x - 5)

= \frac{1}{2 2 x - 5} \frac{d}{d x} (2 x - 5)

\frac{d}{d x} (2 x - 5) = 2

= 3 \cdot \frac{1}{2 2 x - 5} \cdot 2

Simplify

3 \cdot \frac{1}{2 2 x - 5} \cdot 2 : \frac{3}{2 x - 5}

= \frac{3}{2 x - 5}

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Frequently Asked Questions (FAQ)

What is the derivative of 3sqrt(2x-5) ?
The derivative of 3sqrt(2x-5) is 3/(sqrt(2x-5))
What is the first derivative of 3sqrt(2x-5) ?
The first derivative of 3sqrt(2x-5) is 3/(sqrt(2x-5))