What is the derivative of (15/x) ?

The derivative of (15/x) is -(15)/(x^2)

What is the first derivative of (15/x) ?

The first derivative of (15/x) is -(15)/(x^2)

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\frac{d}{d x} (\frac{15}{x})

- \frac{15}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{15}{x})

Take the constant out:

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

= 15 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 15 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 15 (- 1 \cdot x^{- 1 - 1})

Simplify

15 (- 1 \cdot x^{- 1 - 1}) : - \frac{15}{x ^{2}}

= - \frac{15}{x ^{2}}

x \to 4 - lim (x^{2} + \frac{2}{x + 4})

s l o p e (1, - 1), (5, - 7)

d er i v a t i v e f (x) = x + \frac{1}{x}

\int sin^{4} (v) cos^{3} (v) d v

x y^{^{'}} + y = 2 x y^{2}, y (1) = - 5

What is the derivative of (15/x) ?
The derivative of (15/x) is -(15)/(x^2)
What is the first derivative of (15/x) ?
The first derivative of (15/x) is -(15)/(x^2)