Calculus Practice Test: answer key

Every answer, with a link to its step-by-step solution

#	Answer	Lesson	Solution
1	C 4	Limits from a table	Solved step by step
2	−7	Limits from a table	Solved step by step
3	14	Limits by algebra	Solved step by step
4	−14	Limits by algebra	Solved step by step
5	A 14	Limits by the conjugate	Solved step by step
6	−4	Limits by the conjugate	Solved step by step
7	3	One-sided limits	Solved step by step
8	3	One-sided limits	Solved step by step
9	C 3	Limits at infinity	Solved step by step
10	3	Limits at infinity	Solved step by step
11	C 2	Continuity	Solved step by step
12	1	Continuity	Solved step by step
13	2x	The derivative from the definition	Solved step by step
14	8x − 8	The derivative from the definition	Solved step by step
15	5x⁴	The power rule	Solved step by step
16	1/√x + 3	The power rule	Solved step by step
17	C 9x² − 4x + 3	Product and quotient rules	Solved step by step
18	−3x² + 10x − 2	Product and quotient rules	Solved step by step
19	12(3x + 1)³	The chain rule	Solved step by step
20	−4x/((x² + 4)²)	The chain rule	Solved step by step
21	e^x + 2x	Derivatives of sin, cos, e and ln	Solved step by step
22	2/(2x + 5)	Derivatives of sin, cos, e and ln	Solved step by step
23	−xy	Implicit differentiation	Solved step by step
24	−y/(x + 2y)	Implicit differentiation	Solved step by step
25	D −1.5 ft/s	Related rates	Solved step by step
26	−1.33 ms	Related rates	Solved step by step
27	2(x − 1)	Tangent lines	Solved step by step
28	(x + 1)	Tangent lines	Solved step by step
29	B No	Maximum, minimum and optimization	Solved step by step
30	D 49	Maximum, minimum and optimization	Solved step by step
31	x³ + C	Antiderivatives	Solved step by step
32	x⁶3 − x³3 + C	Antiderivatives	Solved step by step
33	10	Definite integrals and area	Solved step by step
34	area = 323 square units	Definite integrals and area	Solved step by step
35	((x² + 1)⁴)/4 + C	u-substitution	Solved step by step
36	3433	u-substitution	Solved step by step
37	B 5 square units	Riemann sums	Solved step by step
38	3.5 square units	Riemann sums	Solved step by step
39	A area = 323 square units	Area below the x-axis	Solved step by step
40	area = 103 square units	Area below the x-axis	Solved step by step

Grade

Count your right answers and divide by the number of questions: A 90% or more, B 80%, C 70%, D 60%, F below 60%.