10.18. Symbolic Operations

SymbolicDerivative (f)

Attempt to symbolically differentiate the function f, where f is a function of one variable.

Examples:

genius> SymbolicDerivative(sin)
genius> (`(x)=cos(x))
genius> SymbolicDerivative(`(x)=7*x^2)
genius> (`(x)=(7*(2*x)))

SymbolicDerivativeTry (f)

Attempt to symbolically differentiate the function f, where f is a function of one variable, returns null if unsuccessful but is silent. (See SymbolicDerivative)

SymbolicNthDerivative (f,n)

Attempt to symbolically differentiate a function n times. (See SymbolicDerivative)

SymbolicNthDerivativeTry (f,n)

Attempt to symbolically differentiate a function n times quietly and return null on failure (See SymbolicNthDerivative)

SymbolicTaylorApproximationFunction (f,x0,n)

Attempt to construct the taylor approximation function around x0 to the nth degree. (See SymbolicDerivative)