Need Statements Page 2

limit of a piece function

limit of a piece function

lim x —> a+ f(x) = lim x —> a- f(x)

continuity at x = a

lim x —> a f(x) = f(a)

derivative by def.

f’(x) = lim deltax —> 0 [f(x + deltax) - f(x)]/deltax AND f’( c) = lim x —> c [f(x) - f( c)]/x-c

continuity of a piece function

lim x —> a+ f(x) = lim x —> a- f(x) = f(a)

rate of change

f’(x)

slope of a curve

f’(x)

slope of a tangent

f’(x)

equation of a tangent

y - y1 = f’(x)(x-x1)

slope of a normal

mn = -1/mt = -1/f’(x)

horizontal tangent

f’(x) = 0

vertical tangent

f’(x) = non zero constant/0

average rate of change

deltay/deltax