Take That Derivative!
f(x) = x + 1
f'(x) = 1
What is a critical value?
When f'(c) = 0 OR f'(c) = DNE
The first English settlement of the Connecticut Colony, settled in 1633
Windsor!
Never heard of self care
Half your brain just aint there
Manchild - Sabrina Carpenter
f(x) = (1/2)x2 + 3x + 2
f'(x) = x + 3
What is a point of inflection?
When the concavity changes from +/- or -/+
This is the oldest continuously operating amusement park in the USA and is home to the famous wooden roller coasters Boulder Dash and Wildcat
Lake Compounce
If the world was ending, I'd wanna be next to you
If the party was over and our time on Earth was through
Die With a Smile - Lady Gaga, Bruno Mars
f(x) = 3x-2 - (1/3)x-1/2
No exponents with fractions or negative numbers!
f'(x) = (-6/x3) + (1/(6*sqrt(x3)))
When does the derivative not exist (3 things)?
If the function has a Corner, Vertical Tangent, or is Discontinuous
Groton, CT is known for building the first of this kind of war machine
Nuclear Submarine
How can you look at me and pretend
I'm someone you've never met?
back to friends - sombr
f(x) = x2/3 * (2x - x2)
No exponents with fractions or negative numbers!
f'(x) = x2/3 * (2 - 2x) + (2/(3*x1/3)) * (2x - x2)
What is it called when the limit becomes 0/0?
The Indeterminant Form
This motto triggered New Yorkers when it appeared on the Welcome to Connecticut sign on I-95
Home of the Pizza Capital of the United States
Si te quieres divertir
Con encanto y con primor
Solo tienes que vivir
NuevaYol - Bad Bunny
f(x) = (4 - x2)3/4 + 3x
No exponents with fractions or negative numbers!
f'(x) = (-6x) / (4 * (4 - x2)1/4 ) + 3
Define the Extreme Value Theorem
A function defined from [a,b] MUST have an absolute min and an absolute max on [a,b].
What makes the highest point in CT unique (and embarassing)?
It is located on the slope of a mountain that peaks in Massachusetts
I break her heart, Comme Garcon
Put on a shirt, get put on a blimp
Timeless - The Weeknd, Playboi Carti