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

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

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

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

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derivative of

f (x) = 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}

x \cdot cos (x), 1

x \to 3 lim (\frac{x ^{2} - 9}{3})

y = 11 - 6 e^{x}, (0, 5)

x \to 0 lim (\frac{ln ( x )}{x - 1})

\int 21 arctan (x) d x

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