Yes, that's correct! Calculus is a branch of mathematics that deals with the study of rates of change and the accumulation of small amounts of change. The two main areas of calculus are differential calculus and integral calculus, as you mentioned.
Differential calculus deals with the study of rates of change and slopes of curves. It is concerned with the calculation of derivatives, which are a measure of how a function changes at a given point. Derivatives are used to study the behavior of functions, to find the maximum or minimum values of functions, and to solve optimization problems in various fields such as physics, engineering, economics, and more.
Integral calculus, on the other hand, deals with the accumulation of small changes and the calculation of areas and volumes. It is concerned with the calculation of integrals, which are used to find the area under a curve or the volume of a solid. Integrals are also used to solve problems in physics, engineering, economics, and other fields.
Together, differential and integral calculus form the foundation of modern mathematics and are essential tools in many scientific and engineering disciplines.
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; concave upward on 
; concave downward on 
; concave upward on 
; concave downward on 
and let f(x) have critical numbers for 
at x = -2,0, and 2. Use the second derivative test to determine which critical number(s), if any, give a relative maximum.
