Calculus 101: Differentiation 🐸

Understanding Differentiation

Differentiation is a fundamental concept in calculus that involves calculating the derivative of a function. The derivative represents the rate of change of a function with respect to one of its variables. Here’s a classic formula used in differentiation:

For a function f(x), the derivative is often denoted as f'(x) or df/dx.

Basic Rules of Differentiation

• Power Rule: (d/dx) [xⁿ] = n*x⁽ⁿ⁻¹⁾
• Constant Rule: (d/dx) [c] = 0, where c is a constant.
• Sum Rule: (d/dx) [f(x) + g(x)] = f'(x) + g'(x)

Resources for Practice

To dive deeper into differentiation, try these exercises:

• Introductory Exercises
• Advanced Problems