C'=0(C is a constant)

(x∧n)′= NX ∧( n- 1)

(sinx)′= cosx

(cosx)' =-sinx

Derivative of sum, difference, product and quotient of functions;

(u v)′= u′v′

(uv)′= u′v+uv′

(u/v)′=(u′v-uv′)/v？

derivant

Is a local property of a function. The derivative of a function at a certain point describes the rate of change of the function near that point. If the independent variables and values of the function are real numbers, then the derivative of the function at a certain point is the tangent slope of the curve represented by the function at that point. The essence of derivative is the local linear approximation of function through the concept of limit. For example, in kinematics, the derivative of the displacement of an object with respect to time is the instantaneous velocity of the object.