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Differentiation

Explore how to use SymPy for symbolic differentiation including first-order, higher-order, and partial derivatives of functions. Understand the mathematical concepts and learn to implement derivatives in Python for scientific computing tasks.

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Differentiation is the process of finding a function that outputs the rate of change of one variable with respect to another.

SymPy provides the functionality of symbolically calculating the derivatives of a function.

First-order derivatives

Derivatives are computed with the diff function, which recursively uses the various differentiation rules.

y=x4+x3+x2y=x^{4}+x^{3}+x^{2}

dydx=4x3+3x2+2x\frac{dy}{dx} =4x^3 +3x^2+2x ...