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The derivative is an important tool in calculus that represents an infinitesimal change in a function with respect to one of its variables. Given a function f x, there are many ways to denote the derivative of f with respect to x. The most common ways are. Start Fraction, Start numerator, d f , numerator End,Start denominator, d x , denominator ...
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The partial derivative D [f [x], x] is defined as , and higher derivatives D [f [x, y], x, y] are defined recursively as etc. The order of derivatives n and m can be symbolic and they are assumed to be positive integers.
Partial Derivatives. Find the partial derivative with respect to a single variable or compute mixed partial derivatives. Compute partial derivatives: d/dx x^2 y^4, d/dy x^2 y^4. Compute higher-order partial derivatives: ∂2 ∂x ∂y x2y4. d^2/dθ^2 (r cos (θ))