Differentiation is an extremely important topic for all branches of science and engineering. Derivatives is one of the topics in calculus, others being integration, limits and continuity.
You can find a large number (more than 100) solved examples of various types on derivatives, like exponential differentiation, logarithmic differentiation, inverse trigonometric functions derivatives, derivatived of determinant, etc in the link below.
You will also find, at the end of this worksheet, many worksheets for practising problems based on differentiation.
Worksheets for Questions Based on Differentiation