LIFESCI 30A Lecture Notes - Lecture 13: Power Rule

• School: UCLA
• Department: Life Sciences
• Course: LIFESCI 30A
• Professor: Conley William Joseph

Document Summary

Midterm lab1o young cs50; thursday october 27th, 6-7:30 pm. Recall from last time: f(x)=400x3 = mass of an elephant of height x (in meters) we found f"(2) (the rate of change of f when x=2 by looking at. M"(2) = the limit of m/ x as x 0. M/ x = m(x2) m(x1)/ x2 x1 = m(x1) m(2) / x2 2. = m(2+ x) m(2)/ x ***let h = x, the very tiny change in x. Plug in the variables we know or found: Recall: (a+b)3 = a3 + 3a2b + 3ab2 + b3. 400*{23+3(22)( x) + 3(2)( x)2 + x3 8}/ x. = 400*[ x(12 + 6 x + x2]/ x = 400*(12 + 6 x + x2) ***where x 0 & x~0. Note that different values for x will turn out a very different answer for f". Slope of the tangent will be different. Implicit conclusion: f" is itself a function of x.