Flashcards

Derivative of sin(x)
cos(x)
Integral of 1/x dx
ln|x| + C
Limit as x->0 of sin(x)/x
1
Integral of e^x dx
e^x + C
What does the fundamental theorem of calculus connect?
Differentiation and integration
Derivative of x^n
nx^(n-1)
What is an inflection point?
Point where concavity changes
What does concave up mean?
Slope is increasing / Second derivative is positive
What is removable discontinuity?
Where the limit exists but function is DNE
What does the second derivative tell you?
Whether a critical point is a max or min



Knowledge Quiz

1. What is the derivative of sin(x)?

cos(x)
-sin(x)
-cos(x)

2. What is the integral of x^2 dx?

2x + C
(x^3)/3 + C
2x

3. What is the limit of sin(x)/x as x-> 0?

1
0
undefined

4. What is the derivative of e^x?

ln|x|
1
e^x

5. How do you take the integral of x^n?

((x+1)^n)/n + C
x^(n+1)/(n+1) + C
x^(n-1)/n + C