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Popular >

derivative of sqrt(2px)

Solution

\frac{d}{d x} (2 p x)

Solution

\frac{x \frac{d p}{d x} + p}{2 x p}

Solution steps

\frac{d}{d x} (2 p x)

Apply the chain rule:

\frac{1}{2 2 p x} \frac{d}{d x} (2 p x)

= \frac{1}{2 2 p x} \frac{d}{d x} (2 p x)

\frac{d}{d x} (2 p x) = 2 (x \frac{d p}{d x} + p)

= \frac{1}{2 2 p x} \cdot 2 (x \frac{d p}{d x} + p)

Simplify

\frac{1}{2 2 p x} \cdot 2 (x \frac{d p}{d x} + p) : \frac{x \frac{d p}{d x} + p}{2 x p}

= \frac{x \frac{d p}{d x} + p}{2 x p}

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integral of e^{-4x}tan(e^{-4x})

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\int \frac{ln ( x )}{x ^{15}} d x

(\partial)/(\partial x)(9x^{2y})

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(2px) ?
The derivative of sqrt(2px) is (x\frac{dp)/(dx)+p}{sqrt(2)sqrt(xp)}
What is the first derivative of sqrt(2px) ?
The first derivative of sqrt(2px) is (x\frac{dp)/(dx)+p}{sqrt(2)sqrt(xp)}