User:Calogero/mathe

Chain Rule
1.example: f(x)=sin(cos(x))        --->         f(x)´=cos(cos) -sin(x)

2.example: f(x)=cos(sin(x))        --->         f´(x)=-sin(sin) cos(x)

3.example: f(x)=tan(sin(x))        --->         f´(x)=1/cos²(sin(x) cos(x)

4.example: f(x)=cos(tan(x))        --->         f`(x)=-sin(tan(x)) 1/cos²(x)

Sum Rule
5.example: f(x)=g(x)+h(x)          --->         f´(x)=g´(x)+h´(x)

Product Rule
6.example: f(x)=g(x)*h(x)          --->         f´(x)=g´(x)h(x)+g(x)h´(x)

Quotient Rule
7.example: f(x)=g(x):h(x)          --->         f´(x)=g´(x)h(x)-g(x)h´(x)/h²(x)