`text(The derivative of the sum or difference of two functions)`
The derivative of the sum or difference of two differentiable functions equals the sum or difference of their derivatives, written

`quadquadquadquadquadquadd/(dx)[f(x)pmg(x)]=f'(x)pmg'(x)`

`text(The product rule)`
The derivative of the product of two differentiable functions is equal to, the first function times the derivative of the second plus the second function times the derivative of the first,

`quadquadquadquadquadquadd/(dx)[f(x)g(x)]=f(x)g'(x) +g(x)f'(x)`

`text(A constant times a function rule)`
The derivative of a constant times a function is equal the constant times the derivative of the function, where the constant `c` can be any real number or expression that does not contain the variable

`quadquadquadquadquadquadquadd/(dx)[cf(x)]=cf'(x)`

`text(The quotient rule)`
The derivative of the quotient of two differentiable functions is, the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator all divided by the denominator squared, written
`quadquadquadquadquadquadquadquadd/(dx)[f(x)/g(x)]=(g(x)f'(x)-f(x)g'(x))/(g(x))^2`

The quotient rule used to differentiate an expression where a constant is divided by a function,
`quadquadquadquadquadquadquadquadd/(dx)[c/g(x)]=-(cf'(x))/(f(x))^2`