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s'(t)greater than 0, moving to the right
s'(t)less than 0, moving to the left
s''(t)greater than 0, s't increases
s"(t)less than 0, s't decreases
s"(t)ands'(t) have the same signs, speeding up...
.......................different signs, slowing down
 
a fnct is not differentiable at x=a when
the graph of the fnct is discont. @ a
the graph of the fnct has a corner or cusp @ a
the line x=a has a vertical tangent...
 
an extreme case of a corner is a cusp, A cusp occurs where the slops of the secant lines approach infinity from one side and -infinity from the other.
 
sketching:
asymptotes; x-inter; y-inter; domain; critical points; incr/decr(include V.A. in intervals); pts of inflection; concavity
 
composition of fncts:
f(g(x))
where the y-values of g(x) becomes the x-values of f(x)
 
distance b/t two pts:
d^2=(x1-x2)^2+(y1-y2)^2
 
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抽疯一下。。。
 
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