Functions: exponential, logarithmic, polynomial, trigonometric, linear. Domain, image, crescente and decrescent, even, odd, inverse function. Rate of change; Limits; precise definition of limit; continuity. Derivatives; differentiation rules; chain rule; implicit derivation; L’Hôpital rule; superior derivatives; related fees; linear approximations; differentials; Taylor polynomial; Average Value Theorem; Maximum and minimum; convex and concave functions; graphics; optimization problems. Anti-derivatives; areas and distances. Riemann sums. Defined integral. Fundamental Theorem of Calculus. Undefined integrals. Integration by substitution and by parts. Integrals of rational functions by partial fractions. Improper integrals.
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