Equations you need to know Flashcards
What is the equation for an arathmetic sequance?
Un= a+ (n-1)d
What is the equation for a geometric equation?
(n-1)
Un= ar^
What is the equation for a straight line?
y-y1=m(x-x1)
Which way do you differentiate for different things in variable acceleration problems?
^ S |
Intergrate | V | Differentiate
| a v
What is the equation for a unit vector?
^.
a = (1/|a|) a. divide vector by its length
What trig identities do you need to know?
What are the equations for sectors?
IN RADIANS
Arc length = theta r
Area = 0.5 theta r^2
What does tan(kx) differentiate to?
k sec^2(kx)
What does ln(x) differentiate to?
1/x
What does A^(kx) differentiate to?
k x ln(A) x A^(kx)
What is the chain rule?
y=f(g(x))
dy/dx= g’(x) x f’(g(x))
What is the product rule?
y= f(x) g(x)
dy/dx= f(x)g’(x) + f’(x)g(x)
What does e^kx intergrate to?
1/k e^kx + C
What does Sec^2(x) intergrate to?
1/k tan (kx) + C
What does 1/x intergrate to?
lnx + C