MATH116 Lecture 16: lect116_14_f15
9 Dec 2015
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Friday, october 9 lecture 14 : differentiation of trig functions and exponential functions. (refers to section 3. 9 and 3. 11 in your text) Students who have mastered the content of this lecture know about: The derivatives of trig functions, the derivatives of exponential functions, the derivatives of hyperbolic functions. 14. 1 recall the function y = f (x) = sin x is defined with respect to the angle whose radian measure is x. The radian is the measure of the length of the curve segment of the unit circle starting at (1, 0). Our first objective is to derive a formula for the derivative of the function sin x. The following lemma is the first step towards finding the derivative of sin x. 14. 2 lemma for the angle in radians, This limit was proven to be 1 in a previous lecture on limits. Always remember that the angle is measured in radians. Here are two examples where this limit is involved.
