University:
Santa Ana College
Course:
MATH 180 | Single Variable Calculus I
Academic year:

2023
Views:

112

Pages:

4
Author:

ahhhhhhmandaa8bx

Name (last, first): Math 180 Sample Exam 2 Show work for full credit. No cell phones are allowed. No calculators. No pens. It covers section 2.6 to 3.6. I. Find the derivative off(x) = -2x' + x + l0 using the definition of deriva live. 2. Find y', the first derivative, using any method you wish. (a) y = 2016 2 (b) y = -Sx -')@] - ,ox 1 + x..Jx + 10 + 70 � X e+l-=, .,-1 fx. 2-, \ - 4 X -f (J -'�x'' '3 xz.. e Y- + y."> e 't �i-. (e) y = ex+3 + (g)y = en Y = ,,,n(x'l Cx �+U 'l--- A X6 - � (x 5 -Sx) 3 (i) y = log3(X 3. Find lim X-HXJ s xz 2 s -B -5"7 2>< . j_ " -i.➔ tO lt1ll) � . Show ALL steps or no cred x -'? \2;< ws(x1-Je s-,',,dx'j \ ->{1 s [x + 10) x+3x + 7 4. True or false. Bx+ 10; A and Bare constants j ( "'f( 3 · \ w .} (a) If f is a continuous function at a, then f is differentiable at a. (b) If lfl is continuous at a, so is f. 5. Let f(x) = 3e x g(x), where g(0) = [EJ 2 and g'(0) 6. Find f 5 (x), the 5th derrivative off, iff(x) { 'ie-Y t- 12-0] v� -fc,,i� -ti) ( 4 ..,_'i' 1->S} +'11'� +&Zx�5�1) (:x + 5")� -rr:--, \0 r-: = 7, find f'(O)@) = Sex + x 5 - 5. f"x2. +3

Math 180 Exam 2 Sample

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