What is the derivative of (50/x) ?

The derivative of (50/x) is -(50)/(x^2)

What is the first derivative of (50/x) ?

The first derivative of (50/x) is -(50)/(x^2)

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\frac{d}{d x} (\frac{50}{x})

- \frac{50}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{50}{x})

Take the constant out:

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

= 50 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 50 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 50 (- 1 \cdot x^{- 1 - 1})

Simplify

50 (- 1 \cdot x^{- 1 - 1}) : - \frac{50}{x ^{2}}

= - \frac{50}{x ^{2}}

\frac{d y}{d x} - 2 x y = - 3 x^{2} e^{x^{2}}

y \to 5 lim (\frac{25 - y ^{2}}{y ^{2} - 4 y - 5})

\int \frac{sin ( 2 t + 1 )}{cos ^{2} ( 2 t + 1 )} d t

y^{^{'}} = \frac{1 - x}{y}

\frac{d}{d x} (- 3 tan (3 x))

What is the derivative of (50/x) ?
The derivative of (50/x) is -(50)/(x^2)
What is the first derivative of (50/x) ?
The first derivative of (50/x) is -(50)/(x^2)