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, Welcome back to Calculus One. And
welcome to week six of our time together.

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Can you believe that we've been at the
Calculus game for more than a month

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already? And we've done a ton of stuff so
far. Way back at the beginning of the

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course, we first met limits. We explored
what it meant to evaluate a function near,

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but not at, a particular import point. And
once we have limits, we were able to

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define the derivative. We explore how
wiggling the input to a function would

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effect the function in some way. That
ratio given by the derivative. Then, we

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spent a lot of time focusing on how to
actually compute the derivative. Alright?

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We learned all these derivatives rules of
the product rule, and quotient rule last

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with the chain rule for actually computing
derivative of functions. And this week is

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no exception. We continue that proud
tradition of actually differentiating. But

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in week six, we focus in on the
transcendental functions. What are

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transcendental functions? Now, most of the
functions that we've been looking at thus

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far are really algebraic functions.
They're, say, polynomials or rational

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functions, roots. Transcendental functions
are functions that transcend algebra, like

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e to the x, or log. Functions that we
couldn't have gotten to if all we had at

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our disposal was algebra. Another great
example of transcendental functions are

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sine, cosine, and tangent, the
trigonometric functions. And if your not

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feeling super comfortable with trig
functions, no worries. We're going to

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review trig functions this week, as well.
But by the end of this week, we're going

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to know how to differentiate those trick
functions, and that sets us up for week

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seven. And what happens in week seven?
Applications of the derivative. We're

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spending a ton of time focusing on
techniques of differentiation, and next

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week we'll see some applications. The pay
off is going to be huge. Just one more

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week of calculations to get through, and
then we can see what all of this is used

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for. Good luck.