What is the derivative of y=(590)/(sqrt(x)) ?

The derivative of y=(590)/(sqrt(x)) is -(295)/(x^{3/2)}

What is the first derivative of y=(590)/(sqrt(x)) ?

The first derivative of y=(590)/(sqrt(x)) is -(295)/(x^{3/2)}

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derivative of

y = \frac{590}{x}

- \frac{295}{x ^{\frac{3}{2}}}

Solution steps

\frac{d}{d x} (\frac{590}{x})

Take the constant out:

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

= 590 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 590 \frac{d}{d x} (x^{- \frac{1}{2}})

Apply the Power Rule:

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

= 590 (- \frac{1}{2} x^{- \frac{1}{2} - 1})

Simplify

590 (- \frac{1}{2} x^{- \frac{1}{2} - 1}) : - \frac{295}{x ^{\frac{3}{2}}}

= - \frac{295}{x ^{\frac{3}{2}}}

y = 6 x - x^{2}, y = x^{2} - 2 x

x \to - 1 + lim (\frac{x ^{2}}{x + 1})

x + 2, 0, 1, 3

\frac{d}{d x} (a e^{2 x} \cdot 2)

\int \frac{1}{x + 3} d x

What is the derivative of y=(590)/(sqrt(x)) ?
The derivative of y=(590)/(sqrt(x)) is -(295)/(x^{3/2)}
What is the first derivative of y=(590)/(sqrt(x)) ?
The first derivative of y=(590)/(sqrt(x)) is -(295)/(x^{3/2)}