What is the derivative of (7x^2)/(sqrt(x)) ?

The derivative of (7x^2)/(sqrt(x)) is (21sqrt(x))/2

What is the first derivative of (7x^2)/(sqrt(x)) ?

The first derivative of (7x^2)/(sqrt(x)) is (21sqrt(x))/2

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derivative of

\frac{7 x ^{2}}{x}

\frac{21 x}{2}

Solution steps

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

Simplify

\frac{7 x ^{2}}{x} : 7 x^{\frac{3}{2}}

= \frac{d}{d x} (7 x^{\frac{3}{2}})

Take the constant out:

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

= 7 \frac{d}{d x} (x^{\frac{3}{2}})

Apply the Power Rule:

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

= 7 \cdot \frac{3}{2} x^{\frac{3}{2} - 1}

Simplify

7 \cdot \frac{3}{2} x^{\frac{3}{2} - 1} : \frac{21 x}{2}

= \frac{21 x}{2}

\frac{d}{d x} (\frac{x ^{2}}{4} + 2 x + 3)

\int \frac{1}{x ^{2} - 7 x + 10} d x

\frac{d}{d y} (x^{2} - 3 y^{2})

\int 4 x^{2} ln (x) d x

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

What is the derivative of (7x^2)/(sqrt(x)) ?
The derivative of (7x^2)/(sqrt(x)) is (21sqrt(x))/2
What is the first derivative of (7x^2)/(sqrt(x)) ?
The first derivative of (7x^2)/(sqrt(x)) is (21sqrt(x))/2