What is the derivative of 1/l ?

The derivative of 1/l is -1/(l^2)

What is the first derivative of 1/l ?

The first derivative of 1/l is -1/(l^2)

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derivative of

\frac{1}{l}

- \frac{1}{l ^{2}}

Solution steps

\frac{d}{d l} (\frac{1}{l})

Apply exponent rule:

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

= \frac{d}{d l} (l^{- 1})

Apply the Power Rule:

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

= - 1 \cdot l^{- 1 - 1}

Simplify

- 1 \cdot l^{- 1 - 1} : - \frac{1}{l ^{2}}

= - \frac{1}{l ^{2}}

x^{9} - 10 x^{5} + 2 x^{2} - 10

\frac{y}{( x - y ) 2}

\frac{d}{d x} (3 ∣ sin (x) x ∣ - 4 ∣ cos (x) ∣)

a^{3} - b^{3}

y = 5 x^{- 4}