What is the derivative of y=x*sqrt(x) ?

The derivative of y=x*sqrt(x) is (3sqrt(x))/2

What is the first derivative of y=x*sqrt(x) ?

The first derivative of y=x*sqrt(x) is (3sqrt(x))/2

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derivative of

y = x \cdot x

\frac{3 x}{2}

Solution steps

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

Simplify

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

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

Apply the Power Rule:

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

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

Simplify

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

= \frac{3 x}{2}

y = 4 x - 3 x^{2} (2 - 4)

3 x y^{3} d x - (x + 2) d y = 0

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

x \to 3 - lim (\frac{3 x + 2}{x - 3})

f (x) = \frac{1}{3 - 2 x}, at x = - 1

What is the derivative of y=x*sqrt(x) ?
The derivative of y=x*sqrt(x) is (3sqrt(x))/2
What is the first derivative of y=x*sqrt(x) ?
The first derivative of y=x*sqrt(x) is (3sqrt(x))/2