What is the derivative of (2x^3)/(5y^3) ?

The derivative of (2x^3)/(5y^3) is (6x^2)/(5y^3)

What is the first derivative of (2x^3)/(5y^3) ?

The first derivative of (2x^3)/(5y^3) is (6x^2)/(5y^3)

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derivative of

\frac{2 x ^{3}}{5 y ^{3}}

\frac{6 x ^{2}}{5 y ^{3}}

Solution steps

\frac{d}{d x} (\frac{2 x ^{3}}{5 y ^{3}})

Treat

y

as a constant

Take the constant out:

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

= \frac{2}{5 y ^{3}} \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= \frac{2}{5 y ^{3}} \cdot 3 x^{3 - 1}

Simplify

\frac{2}{5 y ^{3}} \cdot 3 x^{3 - 1} : \frac{6 x ^{2}}{5 y ^{3}}

= \frac{6 x ^{2}}{5 y ^{3}}

\int \frac{1}{x x ^{2} - 100} d x

\frac{\partial}{\partial y} (e^{x y z^{7}} y z^{7})

\frac{d v}{d t} = k (250 - v)

(x^{2} + 1)^{3} (2 x^{3} - 5 x)^{2}

\frac{d}{d x} (\frac{1 + x}{x})

What is the derivative of (2x^3)/(5y^3) ?
The derivative of (2x^3)/(5y^3) is (6x^2)/(5y^3)
What is the first derivative of (2x^3)/(5y^3) ?
The first derivative of (2x^3)/(5y^3) is (6x^2)/(5y^3)