SymbolicDerivative (f)

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

Examples:

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

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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)

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SymbolicNthDerivative (f,n)

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

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SymbolicNthDerivativeTry (f,n)

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

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SymbolicTaylorApproximationFunction (f,x0,n)

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