Derivatives
The derivative of ex
What is ex
The opposite of chain-rule
What is anti-chain rule
f'(c) = f(b) - f(a) / b - a
What is Mean Value Theorem (MVT)
When f'(x) changes from (+) to (-) at x=c
What is a local max
The type of motion that's never negative
What is speed
The derivative of ln(x)
What is 1/x
The letter you add after finding the integral (you may have to solve for it)
What is C
In an alternating series, where the error bound is given by the absolute value of the first omitted term of the series
What is the Alternating Series Error Estimation Theorem
When f'(x) changes from (-) to (+)
What is a local min
Something implied by differentiability
What is continuity
The derivative of sec(x)
The integral of cos(x)
What is -sin(x)
When a function f(x) is continuous on a closed interval [a,b], then f(x) takes on all values between f(a) and f(b)
What is Intermediate Value Theorem
Critical Points and Endpoints
What are Candidates (for Absolute Min/Max)
ex, cos(x), and sin(x)
What is the Big Three (Maclaurin Series)
The derivative of velocity
What is acceleration
The integral of cot-1(x)
What is -1 / 1+ x2
The alternate name for a LaGrange Error Bound
What is Taylor Error Theorem
When f'(c) = 0 and f"(c) > 0
What is a local min
The Maclaurin series 1 / 1 - x
What is 1 + x + x2 + x3 + ...
The derivative of cos(2x+5)
What is −2sin(2x+5)
The integral of csc(x)
What is -csc(x)cot(x)
When f(b) = f(a) then f'(c) = 0
What is Rolle's Theorem
When f'(c) = 0 and f"(c) < 0
What is a local max
The acronym to help choose "u"
LIPET