This article presents a collection of differentiation questions, along with their solutions, for Class 11 and Class 12 students. Mastering the concept of differentiation is crucial at this level, as it forms the basis for many topics in higher studies. The questions compiled here adhere to the guidelines of the CBSE board and NCERT curriculum, and practicing them will equip students to tackle even the most challenging problems, thereby improving their exam scores.
The differentiation of a function f(x) is denoted as f’(x). If f(x) = y, then f’(x) = dy/dx, which implies that y is differentiated with respect to x. Before we dive into the problems, let's familiarize ourselves with the common differentiation formulas used in the process.
| Function f(x) = y | Differentiation of function f’(x) = dy/dx |
| x n | nx n-1 |
| e x | e x |
| ln(x) | 1/x |
| Sin x | Cos x |
| Cos x | -sin x |
| Tan x | sec 2 x |
| K (constant) | 0 |