What is the derivative of (x^3/(sqrt(x^3))) ?

The derivative of (x^3/(sqrt(x^3))) is (3sqrt(x))/2

What is the first derivative of (x^3/(sqrt(x^3))) ?

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

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

\frac{3 x}{2}

Solution steps

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

Simplify

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

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

Apply the chain rule:

\frac{1}{2 x ^{3}} \frac{d}{d x} (x^{3})

= \frac{1}{2 x ^{3}} \frac{d}{d x} (x^{3})

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

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

Simplify

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

= \frac{3 x}{2}

\int \frac{1}{w} d w

y = x^{2} - 9, y = - x + 3, x = 0, x = 2

- 4 e^{4 x}

f (x) = 3 x^{3} - 6 x^{2} + 7 x, at x = 4

\int_{1}^{5} 2 + 3 x - x^{2} d x

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