Bagrut (Secondary School Matriculation) · Mathematics
Calculus
33 practice questions, each with the answer and an explanation.
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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.
All 33 questions
- Let f(x) = 3x^3 - 3x^2 + 6x + 2. What is f'(3)?
- What is the equation of the tangent to the curve y = x^2 + 5x at the point where x = 2?
- Find the limit as x approaches infinity of (6x^2 + 4x) / (x^2 + 1).
- Evaluate the integral from 0 to 2 of (x^2 + 3) dx.
- What is the equation of the vertical asymptote of f(x) = (5x + 1) / (x - 2)?
- Let f(x) = 3x^3 - 3x^2 - 5x + 2. What is f'(2)?
- Find the limit as x approaches infinity of (8x^2 + 12x) / (3x^2 + 7).
- Evaluate the integral from 0 to 3 of (6x^2 + 6) dx.
- What is the equation of the vertical asymptote of f(x) = (2x + 1) / (x - 3)?
- For f(x) = x^3/3 - 9x, at which positive value of x does f have a local minimum?
- What is the equation of the tangent to the curve y = x^2 + x at the point where x = 1?
- Find the limit as x approaches infinity of (3x^2 + 2x) / (x^2 + 1).
- Evaluate the integral from 1 to 3 of (2x^2 + 3) dx.
- For f(x) = x^3/3 - 16x, at which positive value of x does f have a local minimum?
- Let f(x) = 2x^3 - 3x^2 + 4x + 2. What is f'(1)?
- Find the limit as x approaches infinity of (5x^2 + 10x) / (x^2 + 5).
- Evaluate the integral from 0 to 3 of (x^2 + 3) dx.
- For f(x) = x^3/3 - 4x, at which positive value of x does f have a local minimum?
- What is the equation of the tangent to the curve y = x^2 + 5x - 3 at the point where x = -1?
- Find the limit as x approaches infinity of (2x^2 + 5x) / (2x^2 + 1).
- Evaluate the integral from 0 to 3 of (x^2 + 2) dx.
- What is the equation of the vertical asymptote of f(x) = (3x + 2) / (x - 1)?
- Let f(x) = x^3 - 3x^2 + x - 3. What is f'(2)?
- What is the equation of the tangent to the curve y = -x^2 + 5x + 2 at the point where x = 1?
- Find the limit as x approaches infinity of (5x^2 + 10x) / (2x^2 + 1).
- Evaluate the integral from 2 to 4 of (3x^2 + 3) dx.
- Let f(x) = x^3 + 2x^2 + 6x - 3. What is f'(1)?
- What is the equation of the tangent to the curve y = x^2 - 4x + 4 at the point where x = -1?
- Find the limit as x approaches infinity of (5x^2 + 10x) / (3x^2 + 7).
- Evaluate the integral from 0 to 2 of (2x^2 + 2) dx.
- Let f(x) = x^3 + 3x^2 - x + 2. What is f'(1)?
- What is the equation of the tangent to the curve y = 2x^2 + 3x + 4 at the point where x = -1?
- Find the limit as x approaches infinity of (4x^2 + 3x) / (2x^2 + 1).
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