Let E minus X be E U, and the derivative of U is-1, because the derivative of E X is itself. So the derivative of e MINUS x is-1 times e u, that is? -e^(-x)。 Derivation is a calculation method in mathematical calculation, and its definition is the limit of the quotient between the increment of dependent variable and the increment of independent variable when the increment of independent variable tends to zero.

distinguish

C'=0(C is a constant); (Xn)' = nX(n- 1)(n∈R)； (sinX)' = cosX； (cosX)' =-sinX； (aX)'=aXIna (ln is the natural logarithm); (logaX)' = 1/(Xlna)(a & gt； 0, and a ≠1); (tanX)'= 1/(cosX)2=(secX)2 .

Derivation is the foundation of calculus and an important pillar of calculus calculation. 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.

Reference to the above content: Baidu Encyclopedia-Deduction