AP Calculus 1.3 Derivatives
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AP Calculus 1.3 Derivatives. Compute the limit.
AP Calculus | Derivatives |
Language | English Language |
MPAC 1 | Reasoning with definitions and theorems |
MPAC 3 | Implementing algebraic/computational processes |
Transcript
all right If we were to rush headlong into this
problem we bash our heads into a brick wall instead
we should try and simplify it First recall that the
formal definition of a derivative is equal to the limit
as x approaches Si of f of x minus f
of c all over the quantity x minus c look
similar to this problem Yeah fx And this problem is
just even the coastline x This problem is merely a
fancy way of asking for the derivative of the to
the coastline of access acts approaches a now that that's
sorted out we just have to take the derivative of
the to the co sign of a to find the
answer Remember that the derivative of k to the power
of axe is equal to k to the power of
axe times the natural laws of k using that formula
For this case we get e to the power of
co sign a times the natural log of e since
we're studious test takers we won't forget the chain rule
number That one general means that since there's another function
in either the power of co sign a which is
coast on a we need to find the derivative of
it which is negative sign of a We multiply that
to what we currently have Conduce um quick simplification and
get rid of the limited re since that's just one
and we're left with either the coastline of a times
negative sign of a Our answer matches up with the
answer choice eh Hey that was not significantly less painful 00:01:45.04 --> [endTime] than taking a brick wall Approach your forehead