What is the derivative of psqrt(p) ?

The derivative of psqrt(p) is (3sqrt(p))/2

What is the first derivative of psqrt(p) ?

The first derivative of psqrt(p) is (3sqrt(p))/2

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derivative of

p p

\frac{3 p}{2}

Solution steps

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

Simplify

p p : p^{\frac{3}{2}}

= \frac{d}{d p} (p^{\frac{3}{2}})

Apply the Power Rule:

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

= \frac{3}{2} p^{\frac{3}{2} - 1}

Simplify

\frac{3}{2} p^{\frac{3}{2} - 1} : \frac{3 p}{2}

= \frac{3 p}{2}

\int \frac{( 3 x + 1 ) ^{2}}{244} d x

\frac{d}{d θ} (sin (θ) + θ cos (θ))

\frac{\partial}{\partial x} (2 sin (3 x + 2 y))

\int \frac{y + 1}{y} d y

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

What is the derivative of psqrt(p) ?
The derivative of psqrt(p) is (3sqrt(p))/2
What is the first derivative of psqrt(p) ?
The first derivative of psqrt(p) is (3sqrt(p))/2