MATH 1131Q Lecture Notes - Lecture 13: Trigonometric Functions, Power Rule
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Math 1131 - lecture 13 - derivatives of trigonometric functions. As long as what"s inside the sin matches what"s on the bottom, the limit goes to 1. Derivative of sin: let f(x) = sin(x), then f "(x) = cos(x) Graph of sin and its derivative: f (x) = sin(x) f "(x) = cos(x) Graph of cosine and its derivative: f (x) = cos(x) f "(x) = - sin(x) Note: slopes are different between radians and degrees. Here we can see that radians and degrees are different scales: Six trigonometric functions: cos x sin x tan x = sin x / cosx csc x = 1 / sinx sec x = 1 / cosx cot x = cosx/sinx = 1/tanx. Solution: use the derivative of an exponential function, the power rule, and the derivative of sin(x) b) if evaluate f (x)
