Formula Quiz (which i'm godawful at) Flashcards
(39 cards)
1
Q
d/dx[x^n]
A
n*x^(n-1)
2
Q
d/dx[m*x^n]
A
mn*x^(n-1)
3
Q
d/dx[f(x)*g(x)]
A
f’(x)g(x) + f(x)g’(x)
4
Q
d/dx[f(x)/g(x)]
A
f’(x)g(x) - f(x)g’(x)/(g(x)^2)
5
Q
d/dx[sinx]
A
cosx
6
Q
d/dx[cosx]
A
-sinx
7
Q
d/dx[secx]
A
secxtanx
8
Q
d/dx[tanx]
A
sec^2x
9
Q
d/dx[cscx]
A
-cscxcotx
10
Q
d/dx[cotx]
A
-csc^2x
11
Q
d/dx[f(g(x))]
A
g’(x)(f’(g(x))
12
Q
General power rule, let u be a function of x: d/dx[u^n]
A
nu^(n-1)*u’
13
Q
Area of a circle
A
πr^2
14
Q
Circumference of a circle
A
2πr
15
Q
Volume of a cylinder
A
πr^2h
16
Q
Volume of a cone
A
πr^2(h/3)
17
Q
Volume of a sphere
A
4/3(πr^3)
18
Q
Area of a triangle
A
1/2bh
19
Q
slope intercept of a line
A
y=mx+b
20
Q
point-slope equation of a line
A
y-y1=m(x-x1)
21
Q
area of a rectangle
A
lw
22
Q
area of square
A
s^2
23
Q
quadratic formula
A
-b/2a plus or minus square root (b^2-4ac) divided by 2a
24
Q
distance formula
A
D=square root (x2-x1)^2 +(y2-y1)^2
25
surface area of a cylinder
2πrh+2πr^2
26
integral of x^n dx
???
27
integral of cosx dx
sinx + C
28
integral of -csc^2x
cotx + C
29
integral of f(x)dx from b to a
F(b)-F(a)
30
integral of net change/displacement
integral of v(x) from b to a
31
integral of total distance/volume/etc
integral of absolute |v(x)| from b to a
32
midpoint formula
(x2+x1/2, y2+y1/2)
33
slope formula
y2-y1/x2-x1
34
logab=x if and only if:
10^b=a
35
volume of a rectangular prism
v=lwh
36
integral of tanu du
-ln|cosu| + C
37
integral of cotu du
ln|sinu| + C
38
integral of secu du
ln|secu + tanu| + C
39
integral of cscu du
-ln|cscu+cotu| + C
