Derivation refers to finding the slope of the function image at a certain point, which is used to calculate the change speed. Some important concepts in physics, geometry, economics and other disciplines can be expressed by derivatives. For example, derivatives can represent the instantaneous speed and acceleration of a moving object, the slope of a curve at a certain point, and the margin and elasticity in economics. A mathematical term is to derive a function. Find the derivative of the function y=f(x) at x0 by the derivative method (1) represented by ()': ① Find the function δ y = f (x0+δ x)-f (x0) ② Find the average change rate ③ Take the limit and find the derivative. (2) Derivation formulas of several common functions: ① C'=0(C is a constant); ②(x^n)'=nx^(n- 1)(n∈q)； ③(sinx)' = cosx； ④(cosx)' =-sinx； ⑤(e^x)'=e^x； ⑥ (a x)' = a A Xin (ln is a natural logarithm) 7loga (x)' = (1/x) loga (e) (3) Four algorithms of derivative: ① (u v)' = u v' ② (UV)' = for the compound function f [g (x).