What is the derivative of (500)/q ?

The derivative of (500)/q is -(500)/(q^2)

What is the first derivative of (500)/q ?

The first derivative of (500)/q is -(500)/(q^2)

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derivative of

\frac{500}{q}

- \frac{500}{q ^{2}}

Solution steps

\frac{d}{d q} (\frac{500}{q})

Take the constant out:

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

= 500 \frac{d}{d q} (\frac{1}{q})

Apply exponent rule:

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

= 500 \frac{d}{d q} (q^{- 1})

Apply the Power Rule:

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

= 500 (- 1 \cdot q^{- 1 - 1})

Simplify

500 (- 1 \cdot q^{- 1 - 1}) : - \frac{500}{q ^{2}}

= - \frac{500}{q ^{2}}

(1 + x^{2})^{\frac{1}{2}}

\frac{d}{d x} (sin (\frac{x}{( y + 1 )}))

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

sin (lo g_{10} (1 + x))

cos (7) x^{2}

What is the derivative of (500)/q ?
The derivative of (500)/q is -(500)/(q^2)
What is the first derivative of (500)/q ?
The first derivative of (500)/q is -(500)/(q^2)