The tangent equation formula of derivative: take the derivative value as the slope k, use the origin (x0, y0), and the tangent equation is (y-b)=k(x-a).

Solution of derivative tangent equation

Calculate the derivative f'(x) first, and the essence of the derivative is the slope of the curve. For example, there is a point (a.b) on the function, and the derivative f'(a)=c at this point, then the tangent slope at this point (a.b) is k=c, assuming that the tangent equation is y=mx+n, then m=k=c, AC+n..

Formula: Take the obtained derivative value as the slope k, use the origin (x0, y0), and the tangent equation is (y-b)=k(x-a).

Derivative algorithm

Subtraction rule: (f (x)-g (x)' = f' (x)-g' (x)

Addition rule: (f (x)+g (x)' = f' (x)+g' (x)

Multiplication rule: (f (x) g (x)' = f' (x) g (x)+f (x) g' (x)

Division rule: (g (x)/f (x)' = (g' (x) f (x)-f' (x) g (x))/(f (x)) 2