Inverse function 反函数
If add prefix "inverse" to function name, it becomes to the inverse function, e.g. inversef(x) is inverse of f(x) for `f^-1(x)`.
The inverse of trig function is denoted by prefix "a" onto function name, e.g. asin(x) is inverse of sin(x) for `sin^-1(x)` ,
other inverse function is denoted by prefix "inverse" onto function name.
to function:
If add prefix "to" to function name, it becomes to the convert function,
e.g. adding prefix "to" to sin(x) becomes tosin(x),
tosin convert x to sin.
Or use convert() function convert to another form.
e.g. convert exp(x) to sin
Inert function:
If add profix "s" to function name, it becomes to the inert function. Its last letter is "s" for inactivative, e.g. ds(), integrates().
A non-integer derivative is inert, e.g. `sin^((0.5))(x)`,
to activate by removing its last letter "s" or by clicking the simplify button.
The nth order derivative function 导数
The nthd() gives the nth derivative formula. It is symbolic higher derivative.
The 0.5th order derivative of sin(x) is denoted by sin(0.5,x) for `sin^((0.5))(x)`.
The minus order derivative is intergal, e.g. `sin^((-1))(x)` is `int` sin(x), it is different from `sin^-1(x)`, which is inverse of sin(x).
A non-integer derivative is inert, e.g. `sin^((0.5))(x)`,
to activate by clicking the simplify button.
Integral function 积分函数
If add profix "i" to function name, it becomes to the integral function. Its last letter is "i" for integral, e.g.
adding profix "i" to tan become tani, tani(x) is integral of tan(x)/x.