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

The derivative of (5+3/x ^3) is -(9(5x+3)^2)/(x^4)

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

The first derivative of (5+3/x ^3) is -(9(5x+3)^2)/(x^4)

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Popular >

\frac{d}{d x} ((5 + \frac{3}{x})^{3})

- \frac{9 ( 5 x + 3 ) ^{2}}{x ^{4}}

Solution steps

\frac{d}{d x} ((5 + \frac{3}{x})^{3})

Apply the chain rule:

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

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

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

= 3 (5 + \frac{3}{x})^{2} (- \frac{3}{x ^{2}})

Simplify

3 (5 + \frac{3}{x})^{2} (- \frac{3}{x ^{2}}) : - \frac{9 ( 5 x + 3 ) ^{2}}{x ^{4}}

= - \frac{9 ( 5 x + 3 ) ^{2}}{x ^{4}}

(1 + q^{- 1})^{2}

\frac{\partial}{\partial x} (e^{y} + x + x^{2} + 9)

\int (\frac{4 x}{y}) d x

\frac{d y}{d x} = x - y

16 - x^{2}, x^{2} - 2

What is the derivative of (5+3/x ^3) ?
The derivative of (5+3/x ^3) is -(9(5x+3)^2)/(x^4)
What is the first derivative of (5+3/x ^3) ?
The first derivative of (5+3/x ^3) is -(9(5x+3)^2)/(x^4)