Hi Can anyone help me differentiate this function with respect to Q, and then isolate the Q? J(Q,r) = ((A*D)/Q) + H((Q/2) + r + M) + ((P*F(r)*D)/Q) Thank you JBroeng
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Originally Posted by JBroeng Hi Can anyone help me differentiate this function with respect to Q, and then isolate the Q? J(Q,r) = ((A*D)/Q) + H((Q/2) + r + M) + ((P*F(r)*D)/Q) Thank you JBroeng Is H a constant or a function? CB
Originally Posted by JBroeng Hi Can anyone help me differentiate this function with respect to Q, and then isolate the Q? J(Q,r) = ((A*D)/Q) + H((Q/2) + r + M) + ((P*F(r)*D)/Q) Thank you JBroeng Assuming H is a constant this is $\displaystyle J(Q,r)= AD Q^{-1}+ HQ/2+ Hr+ HM+ PF(r)DQ^{-1}$ and can be easily differentiated using the power rule.
Last edited by HallsofIvy; May 27th 2010 at 01:53 AM.
Yes A, D, H, r, M, P is constants and F(r) is a function.
Hi again I know it might be a dum question but how do I differentiate (H*Q)/2? I have totally forgotten how to differentiate a fraction. JBroeng
The derivative of Ax is A. (That's a linear function so the derivative is just the slope.) The fact that A is a fraction is irrelevant: the derivative of $\displaystyle \frac{A}{2}Q$ with respect to Q is $\displaystyle \frac{A}{2}$.
Thank you so much !!!
Sorry but bother you again ...but can any of you see how they get from a to b? a) Q^2 = (2(A+P*f(r))D)/H b) Q = (P*D*f(r))/H Thank you for helping me... JBroeng
I have found the solution.....they differentiate the function with respect to Q and r , and isolate Q in both of those function.....Thank you for all your help...
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