2.y=x^n y'=nx^(n- 1)

3.y=a^x y'=a^xlna

y=e^x y'=e^x

4.y=logax y'=logae/x

y=lnx y'= 1/x

5.y=sinx y'=cosx

6.y=cosx y'=-sinx

7.y = Tanks Y' =1/cos 2x

8.y=cotx y'=- 1/sin^2x

9 . y = arcsinx y'= 1/√ 1-x^2

10 . y = arc cosx y'=- 1/√ 1-x^2

1 1 . y = arctanx y'= 1/ 1+x^2

12 . y = arccotx y'=- 1/ 1+x^2

A is a constant and logarithm is a real number. For example, ln5 5 is a real number?

Lognm, where n refers to the base and m refers to the real number, is abbreviated as LGM when the base is 10 and E (e = 2.718281828459).

Is a constant, which is often used as a transcendental number in mathematics?

Extended data:

If the function f(x) is differentiable at every point in (a, b), it is said that f(x) is differentiable at (a, b), and the derivative function of f(x) can be established, which is called f'(x) for short.

If f(x) is differentiable at (a, b), and both the right derivative of the endpoint A and the left derivative of the endpoint B exist, it is said that f(x) is differentiable in the closed interval [a, b], and f'(x) is the derivative function of the interval [a, b], which is simply called derivative [1].

If a point extends to every point in the open interval I contained in the definition domain of the function f(x), then the function f(x) is derivable in the open interval. At this time, there is a definite derivative of f(x) for every definite value in the interval, so each derivative constitutes a new function, which is called the derivative function of the original function f(x) and is denoted as y.

The function f(x) has a unique numerical value-derivative value f'(x) at each derivable point x, and this correspondence gives a new function defined on the set of all derivable points of f(x), which is called the derivative function of function f(x) and is marked as f'(x).

Reference: Baidu Encyclopedia Derivative Function