# Exam

Exam

1.- The average rate of change of f(x) = x2 + 7 in the interval [1,3] equals

 a) 2 b) 1 c) 0 d) 4

2.- The abscissa in which the slope of the tangent line to the graph of f(x) = ex + 1 is e2, is:

 a) 2 b) 1 c) 0 d) -1

3.- Decide which of these sentences is true:

 a) All the continuous functions are derivable ones b) Only some derivable functions are continuous functions c) A derivable function may not be continuous d) All the derivable functions are continuous ones

4.   f(x) = x2 +ex   → f'(x) =

 a) x + ex b) x - ex c) 2x + ex d) None of them

5.- If f(x) = 3x4 - 5x + 2, then f'(1) equals:

 a) 6 b) 7 c) 0 d) -1

6.   f(x) = x2ex   →  f'(x) =

 a) xex + x2ex b) ex(x2 + 2x) c) ex (x+ 2x) d) None of them

7.  f(x) = sin3x2   →   f'(x) =

 a) 6x·cos3x2 b) cos3x2 c) 2cos3x2 d) None of them

8.   f(x) = ln(arctanx)   →   f'(x) =

 a) 1/arctanx b) lnx/arctanx c) 1/((1 + x2)·arctanx) d) None of them

9.- If f(x) = x4 - 5x + 2, then fVII(5) =

 a) 1 b) 0 c) -1 d) 5

10.- If f(x) = x·ex, then f'''(0) =

 a) 1 b) 2 c) 3 d) 0