Overview of Today’s Class Derivatives (cont) Indefinite integrals Definite integrals
Quiz 6x 2 +5 If what is the derivative of x(t) with respect to t? If f(x)=2x 3 +5x what is the derivative of f(x) with respect to x?
Derivatives or Function x(t) is a machine: you plug in the value of argument t and it spits out the value of function x(t). Derivative d/dt is another machine: you plug in the function x(t) and it spits out another function V(t) = dx/dt
Derivatives A derivative of a function at a point is a slope of a tangent of this function at this point.
Indefinite integral (anti-derivative) A function F is an “anti-derivative” or an indefinite integral of the function f if