Question

Find the slope of the curve yequals=x2minus−44xminus−55 at the point ​p(33​,negative 8−8​) by finding the limit of the secant slopes through point p.

Answer 1

y = x^2 - 44x - 55
y' = 2x - 44
At p = (33, -8)
y' = 66 - 44 = 22
The slope of the curve at this point is 22 units per unit of time.