trig derivatives and rules Flashcards
1
Q
sin(x)
A
cos(x)
2
Q
cos(x)
A
-sin(x)
3
Q
tan
A
sec^2(x)
4
Q
csc
A
-cot(x)csc(x)
5
Q
sec
A
tan(x)sec(x)
6
Q
cot
A
-csc^2
7
Q
e^ln pi
A
Pi
8
Q
Sin(pi) cos(pi)
A
0, -1
9
Q
Ln(e)
A
1
10
Q
Log rule
Ex: log5(x)
A
1/ln5(x)
All under 1, and all same except lov becomes Ln
11
Q
Exponential rule derivatives
Ex: 5^p
A
5^p Ln 5
12
Q
tan line formula
A
y= f(a)(x-a) + f(a)
13
Q
diff of squares
A
(A-B)(A^2 +AB + B^2)
14
Q
Displacement
A
S(t2)-s(t1)
S is position
Plug in position of it during time 2 minus its position during time 1
15
Q
Average velocity
A
S(t2)-s(t1)/ t2-t1
16
Q
Instantaneous velocity
A
V(to)= sā(to)
17
Q
Instantaneous Speed
A
|V(to)| basically same as instantaneous volume but of its absolute value
18
Q
Instantaneous acceleration
A
Vā(to)