Differentiation

The derivative f'(a) = lim[h→0] (f(a+h)

The derivative f'(a) = lim[h→0] (f(a+h)-f(a))/h represents the instantaneous rate of change of function f at point a. This is like finding the exact s

Key formulas include

Key formulas include: d/dx(xⁿ) = nxⁿ⁻¹, d/dx(eˣ) = eˣ, d/dx(aˣ) = aˣ log a, d/dx(log x) = 1/x, d/dx(√x) = 1/(2√x), d/dx(constant) = 0. For example, if

Sum Rule

Sum Rule: d/dx(u±v) = du/dx ± dv/dx. Product Rule: d/dx(uv) = u(dv/dx) + v(du/dx). Quotient Rule: d/dx(u/v) = (v(du/dx) - u(dv/dx))/v². Example: For y

Marginal Cost (MC) = dC/dx where

Marginal Cost (MC) = dC/dx where C is total cost and x is quantity. Marginal Revenue (MR) = dR/dx. Marginal Demand (MD) = dD/dP where D is demand and