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Differentiation Critical points
MA4001Engineering Mathematics 1
Lecture 14
Derivatives of Trigonometric Functions
Critical Points
Dr. Sarah Mitchell
Autumn2014
Differentiation Critical points
Animportant limit
To calculate the limits of basic trigonometric functions we need
to know the limit lim sinx.
x→0 x
Fromthegraphit looks like the limit might be 1 (if the function is
continuous).
Differentiation Critical points
lim sinx
x→0 x
Asthefunction is even the two one-sided limits must be the
same,sowejustneedtocheck lim sinx.
x→0+ x
Asx →0wecanassumethat0
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