What is the derivative of 3xsqrt(x) ?

The derivative of 3xsqrt(x) is (9sqrt(x))/2

What is the first derivative of 3xsqrt(x) ?

The first derivative of 3xsqrt(x) is (9sqrt(x))/2

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derivative of

3 x x

\frac{9 x}{2}

Solution steps

\frac{d}{d x} (3 x x)

Simplify

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

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Power Rule:

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

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

Simplify

3 \cdot \frac{3}{2} x^{\frac{3}{2} - 1} : \frac{9 x}{2}

= \frac{9 x}{2}

\int_{- 7}^{7} 1 + x^{2} d x

x \to 0 lim (\frac{4}{3 + e ^{\frac{1}{x}}})

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

\frac{\partial}{\partial y} (ln (x^{2} + y))

x^{4} - 2 x^{2}, 2 x^{2}, [0, 2]

What is the derivative of 3xsqrt(x) ?
The derivative of 3xsqrt(x) is (9sqrt(x))/2
What is the first derivative of 3xsqrt(x) ?
The first derivative of 3xsqrt(x) is (9sqrt(x))/2