This article is a summary of differentiation rules, that is, rules for computing the derivative of a function in calculus. Unless otherwise stated, all...

method that makes heavy use of the chain rule to compute exact numerical derivatives. Differentiation rules – Rules for computing derivatives of functions...

{f''-g''h-2g'h'}{g}}.} Chain rule – For derivatives of composed functions Differentiation of integrals – Problem in mathematics Differentiation rules – Rules for computing...

property is known as linearity of differentiation, the rule of linearity, or the superposition rule for differentiation. It is a fundamental property of...

not differentiable at 0. Differentiation rules General Leibniz rule Inverse functions and differentiation Linearity of differentiation Product rule Quotient...

In calculus, the Leibniz integral rule for differentiation under the integral sign, named after Gottfried Wilhelm Leibniz, states that for an integral...

decay very rapidly. Differentiation rules – Rules for computing derivatives of functions Leibniz integral rule – Differentiation under the integral sign...

}}\right)=0} exists. However, for x ≠ 0 , {\displaystyle x\neq 0,} differentiation rules imply f ′ ( x ) = 2 x sin ⁡ ( 1 / x ) − cos ⁡ ( 1 / x ) , {\displaystyle...

process of finding the derivative of a trigonometric function Differentiation rules – Rules for computing derivatives of functions Distribution (mathematics) –...

mathematics Differentiation rules – Rules for computing derivatives of functions General Leibniz rule – Generalization of the product rule in calculus...

process of finding the derivative of a trigonometric function Differentiation rules – Rules for computing derivatives of functions Implicit function theorem –...

trigonometric function Differentiation rules – Rules for computing derivatives of functions General Leibniz rule – Generalization of the product rule in calculus...

differentiation (auto-differentiation, autodiff, or AD), also called algorithmic differentiation, computational differentiation, and differentiation arithmetic...

(mathematics) Differentiation rules – Rules for computing derivatives of functions General Leibniz rule – Generalization of the product rule in calculus...

is also known as "Leibniz's rule"). It states that if f {\displaystyle f} and g {\displaystyle g} are n-times differentiable functions, then the product...

In calculus, logarithmic differentiation or differentiation by taking logarithms is a method used to differentiate functions by employing the logarithmic...

Total derivative, Partial derivative Linearity of differentiation Product rule Quotient rule Chain rule Inverse function theorem – gives sufficient conditions...

In differential calculus, there is no single standard notation for differentiation. Instead, several notations for the derivative of a function or a dependent...

Mathematical gradient operator in certain coordinate systems Differentiation rules – Rules for computing derivatives of functions Exterior calculus identities...

calculus. While differentiation has straightforward rules by which the derivative of a complicated function can be found by differentiating its simpler component...

directional differentiation adapted to the case of differentiable manifolds ultimately captures the intuitive features of directional differentiation in an...

chain rule or change of variables, is a method for evaluating integrals and antiderivatives. It is the counterpart to the chain rule for differentiation, and...

The following properties can all be derived from the ordinary differentiation rules of calculus. Most importantly, the divergence is a linear operator...

Sum rule may refer to: Sum rule in differentiation, Differentiation rules #Differentiation is linear Sum rule in integration, see Integral #Properties...

process of finding a derivative is called differentiation. There are multiple different notations for differentiation. Leibniz notation, named after Gottfried...

for differentiation Leibniz's notation for differentiation Simplest rules Derivative of a constant Sum rule in differentiation Constant factor rule in...

Methods Numerical Differentiation from wolfram.com NAG Library numerical differentiation routines Boost. Math numerical differentiation, including finite...

relevant to this equation are that it takes differentiation in x to multiplication by i2πξ and differentiation with respect to t to multiplication by i2πf...

an area of mathematical analysis, the differintegral is a combined differentiation/integration operator. Applied to a function ƒ, the q-differintegral...

integration to differentiation and provides a method to compute the definite integral of a function when its antiderivative is known; differentiation and integration...