Il Maraschini-Palma - volume 5

My English lesson EXERCISES FILL IN THE GAPS 1. It is defined as ......................... function of the function f(x) and it is denoted by D(.............) as the function that provides the values of the angular ........................................................................... to the graph of f(x). 2. Let us observe the following graphs of a function and its derivative. Complete the diagram by comparing the increasing or decreasing intervals of the function with the positive or negative intervals of the derivative, the stationary points with the zeros of the derived function. y y 3 1 O 1 1 1 x O 2 1 x y = f(x) y = D(f(x)) ..................................... x=2 ..................................... ..................................... x>0 f increasing ..................................... decreasing ..................................... ..................................... D(f) ..................................... ..................................... <0 =0 ..................................... 3. A primitive of f(x), is defined, and denoted by P(f(x)), as each of the functions whose derivative is f(x) itself: D(P(f(x))) = .............. The primitives of a function, if they exist, are .........................: for each k R: D(f(x)) = D(f(x) + k). TEST 4. Given a parabola with equation y = x2 + 3x + 4, its derivative function is A y = 2x C y = 2x + 3 B y = 2x D y = 3x 5. Given the line of equation y = 3x 5, its derivative function is A y=3 C y = 3 B y = 5 D y = 3x 6. Given the line of equation y = 2x 5 one of its primitive function is A y = x2 + 2x 5 C y = x2 + 5x B y = x 5x + 2 D y = 2x + 5 2 7. Given the line of equation y = 5 one of its primitive function is A y = 2x 5 C y = 5x + 2 B y = 5x + 2 D y = 2x + 5 8. Given the line of equation x = 5 one of its primitive function is 230 A y = 2x 5 C y = 5x + 2 B y = 5x +2 D it does not exist

Il Maraschini-Palma - volume 5
Il Maraschini-Palma - volume 5