Find d^2y/dx^2 , as a fuction of t, for the given the parametric equations:
x = 3 - 8cos(t)
y = 5 + cos^3(t)
I don't understand this notation, please help!
Hello, Del!
You don't understand It's the second derivative ofFind , as a fuction of t.
. .
I don't understand this notation. . . . . Which notation?
You don't understand It's
(a) Find the first derivative.
Formula: .
It says:
. . (1) Differentiate with respect to
. . (2) Differentiate with respect to
. . (3) Form the fraction.
(b) Find the second derivative.
Formula: .
Read this formula very carefully . . .
The numerator says: differentiate . . . which we found in part (a).
The bottom says: divide by . . . which we also found in part (a).
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
Back to the problem: .
(a) .
. . . .
(b) .
Therefore: .