CBSE Class 12 · Mathematics
Continuity and differentiability
12 practice questions, each with the answer and an explanation.
Practise Continuity and differentiability now
Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.
All 12 questions
- If , find .
- If , find .
- If , find .
- If , find .
- If , find .
- If , find .
- If , find .
- If y = (tan x)^x, what is the derivative dy/dx at x = π/4?
- For what value of k is the function f(x) = { (k cos x) / (π - 2x) for x ≠ π/2; 3 for x = π/2 } continuous at x = π/2?
- If x = a (θ + sin θ) and y = a (1 - cos θ), what is the value of d^2y/dx^2 at θ = π/2?
- Find the point on the curve y = x^3 - 11x + 5 at which the tangent has the equation y = x - 11.
- The total revenue received from the sale of x units of a product is given by R(x) = 3x^2 + 36x + 5. What is the marginal revenue when x = 15?
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