MATH 1A (MATH1A)

mean value theorem, Rolle's theorem, how derivatives affect the shape of a graph, increasing/decreasing test, first derivative test, inflection points, concavity test, second derivative test, finding local extrema

maximum and minimum values, absolute maximums and minimums, Extreme value theorem, local maximums and minimums, Fermat's theorem, critical numbers, closed interval method

linear approximations and differentials, linear approximation at a specific point

exponential growth and decay, population growth, radioactive decay, Newton's law of cooling, continuously compounded interest, related rates

implicit differentiation, finding the slope of a tangent line, finding the second derivative, derivative of inverse trigonometric functions, derivatives of logarithmic functions, Euler's constant as a limit, limit laws with Euler's constant

derivatives of trigonometric functions, chain rule, power rule combined with chain rule, word problems, chain rule for 3 functions

derivatives of polynomials, power rule, derivatives of exponential functions, Euler's constant, product rule, quotient rule,

limits at infinity, horizontal asymptotes, definition of a horizontal asymptote, squeeze theorem, limit laws, infinite limits at infinity, computing with infinity, tangent and velocity problems, derivatives, rates of change, instantaneous rate of change, the derivative as a function