SymDiff

differentiate(f::Expr, x::Symbol)

Differentiate f with respect to x.

differentiate(::Number, ::Symbol)

Differentiate a constant.

differentiate(f::Symbol, x::Symbol)

Differentiate a symbol.

differentiate(Val{:*}, f::Expr, x::Symbol)

Differentiate (fg)' using chain rule: (fgh)' = f'gh + fg'h + fgh'.

differentiate(Val{:+}, ex::Expr, x::Symbol)

Differentiate d/dx (f + g)

differentiate(Val{:-}, ex::Expr, x::Symbol)

Differentiate d/dx (f - g)

differentiate(Val{:/}, ex::Expr, x::Symbol)

Differentiate d/dx f/g.

differentiate(Val{:^}, f::Expr, x::Symbol)

Differentiate d/dx f^a = a * f ^ (a - 1) * diff(f, x)

simplify(expr::Expr)

Simplify expression.

simplify(Val{:*}, ex::Expr)

simplify(Val{:+}, ex::Expr)

simplify(Val{:-}, ex::Expr)

simplify(Val{:/}, ex::Expr)

simplify(Val{:^}, ex::Expr)

simplify(f::Union{Number, Symbol})