Studied by 3 peopleperiod
length of one cycle
average horizontal axis
(max + min)/2
amplitude
the maximum displacement of a periodic wave, = (min - max)/2
derivative of y=sinx
y=cosx
derivative of y=cosx
y= - sinx
pattern, the cycles of derivatives with sinusoidal functions
f(x) = sinx
f’(x) = cosx
f’’(x) = -sinx
f’’’(x) = -cosx
f’’’’(x) = sinx
finding the equation of a line that is tangent to a given function & passes through a point (steps)
Find derivative
Use special triangles (as we’re working with sin and cos)
Sub the x value into derivative and operate on it to find the slope
Use y=mx+b to find b (sub in (x,y) that is given; if it’s not given and you just have the x value, then sub into original equation to get the y coordinate so you have a full coordinate point)
Find your final equation
log functions are the inverse of ________
exponential functions
derivative of e^x
e^x (will always be, no matter how many times you take it)
ln
log with a base of e
ln e with an exponent or a base with an exponent of ln e
= 1(cancels out)
word problems asking for "rate"
find the derivative
Note
Flashcard