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:
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
6. f(x) = x2ex → f'(x) =
a) xex + x2ex
b) ex(x2 + 2x)
c) ex (x+ 2x)
7. f(x) = sin3x2 → f'(x) =
a) 6x·cos3x2
b) cos3x2
c) 2cos3x2
8. f(x) = ln(arctanx) → f'(x) =
a) 1/arctanx
b) lnx/arctanx
c) 1/((1 + x2)·arctanx)
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) =
b) 2
c) 3
d) 0
Licensed under the Creative Commons Attribution Non-commercial Share Alike 3.0 License