Continuity and Differentiability — practice questions
6 curated practice questions from Continuity and Differentiability (Mathematics Class 12, CBSE) — 2 easy, 2 medium, 2 hard. Every question includes the final answer free; step-by-step worked solutions with a free account.
- At which point does the graph of intersect the origin in the given image?
- If dy dx = ^2 x , then the value of d^2y dx^2 at x = 4 is:
- If x = a(1 - u) , y = a(u + u) , then dy dx is :
- Assertion (A): d dx ( e^ x ) = e^ x 4 x e^ x . Reason (R): d dx [ ( (x))] = 1 x x , x 1 .
- If e^ y = xy , then dy dx is equal to:
- Assertion (A): The function f(x) = |x - 6|( x) is differentiable in R - 6 . Reason (R): If a function f is continuous…