# Differentiate with Respect

• Oct 26th 2009, 05:24 PM
IronMan
Differentiate with Respect
Please can you differentiate this equation with respect to q1.

c= 1

Here is the equation:

P1= (20q1)-(1/10q1^2)-(1/10q1q2)-(q1c)

Thanks :)
• Oct 26th 2009, 05:37 PM
pickslides
$P_1= 20q_1 - \frac{1}{10q_1^2} - \frac{1}{10q_1q_2} - q_1c$

$P_1= 20q_1 - 10q_1^{-2} - 10q_1^{-1}q_2^{-1} - q_1c$

You need you use

$y=x^n \Rightarrow \frac{dy}{dx}= nx^{n-1}$

treat $q_2$ as a constant