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Friday, September 30
−
Lecture 10 :
Differentiation of trig functions and
exponential functions
.
(Refers to section 3.3 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.
Students who have practiced the techniques presented in this lecture will be able to
:
Compute limits
involving a function of the form (sin x)/x, compute derivatives of functions involving trig functions and
exponential functions by using the laws of differentiation, compute the derivative of hyperbolic
functions.
10.1
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
.
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 Spring '11
 RobertAndre
 Calculus, Exponential Function, Derivative, Exponential Functions

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