Exam Practice Review Calculus and Vectors (TVO ILC)

Exam Practice Review


Calculus and Vectors (TVO ILC)

, MCV4U Practice Exam: Calculus Component
Part A: Multiple Choice

For questions 1 to 10, select the best 6. Which must be true for a minimum to
answer. occur at x = a on y = f (x)?
A f'(a) > 0
1. Which expression represents the
first principles definition of the B f'(a) < 0
derivative of f(x)? C f''(a) > 0
f (x + h) - f (x) D f''(a) < 0
A h
f (x - h) + f (x) 7. Which must be true for a critical point to
B lim
h⭢0 h occur at x = a on y = f (x)?
f (x - h) - f (x) A f'(a) = 0
C lim
h⭢0 h
D f '(x) B f''(a) = 0
C f''(a) > 0
9 - x2
2. Evaluate lim . D f''(a) < 0
x⭢3 x -
A0 3 B∞ -3
8. Which is the derivative of y = ?
C6 D -6 3 x 2
A y' =2
x
3. State the intervals of increase for y = B 6
y' = -
f(x) given f '(x) = -3x(x - 2)(x +
1). x3
C 6
y' =
A -1 < x < 0 and x > 2
x3
B -1 < x < 2
D y' = -6x4
C x < -1 and 0 < x < 2
D x < -1 and x > 2
9. Which is the derivative of y = 2√x?
1
4. Which is the slope of the tangent to the A y' =2
√x
curve y = 4x3 at x = 2? 1
B y' =√x
A 48 B 12
C4 D 32 1
C y' = √x
2 3
D y' = x2-
5. Which expression is equivalent
to (x + h)100 - x100
lim ?
h⭢0 h 10. Which is the derivative of f(x) = 8x?
A x100 A 8x
B 100x99
B xln8
C0 C 8xln8
D∞ D ln8




192 MHR • MCV4U Exam: Vector Component