If Q= 1P+ 4. The derivative of Q with respect to P at P= 246.2622 is?

One. The derivative of Q with respect to P, or dQ/dP, is equal to 1.

Think of it like this. On a 2-D coordinate system where Q = y and P = x, taking the derivative of Q with respect to P yields a formula that gives the slope of the tangent line to the curve at some value of P.

In this case, Q = 1P + 4 is a straight line of slope 1. So, no matter what the value of P is, the derivative (or slope of the tangent to the curve) remains the same.

It's sort of a trick question, since you don't need the P = 246.2622 part.

Just remember, derivative = slope of the tangent to the curve.