What is the derivative of y=xsqrt(x) ?

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

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

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

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derivative of

y = x 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}

\int \frac{1}{x ^{2}} (ln^{2} (x)) d x

x \to π lim (6)

\frac{d ^{2} Q}{d t ^{2}} - 7 \frac{d Q}{d t} + 5 Q = 0

\int \frac{cos ( t )}{1 + sin ^{2} ( t )} d t

\frac{d}{d x} (\frac{7}{( x + 1 ) ^{2}})

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