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Differentiation Calculators

Derivative calculator

Subtraction Rule

Product Rule

Quotient Rule

Power Rule

Chain Rule

Addition Rule

Limit Function Value Calculator

Homogeneous Differential Equations

Integral Calculus Calculators

Trapezoidal Rule Approximate Integration

Simpson's Rule Numerical Integration

Romberg's Numerical Integration

Integral Transport Function Calculator

Differentiation is all about finding rates of change (derivative) of one quantity compared to another. We need differentiation when the rate of change is not constant.

Derivative Calculator computes a derivative of a given function with respect to a given variable using analytical differentiation.

In calculus, the subtraction rule in differentiation is a method of finding the derivative of a function that is the subtraction of two other functions for which derivatives exist. The subtraction rule in integration follows from it. The rule itself is a direct consequence of differentiation.

In calculus, the product rule of derivatives is a method of finding the derivative of a function that is the multiplication of two other functions for which derivatives exist. The product rule in integration follows from it. The rule itself is a direct consequence of differentiation.

In calculus, the quotient rule of derivatives is a method of finding the derivative of a function that is the division of two other functions for which derivatives exist. The quotient rule in integration follows from it. The rule itself is a direct consequence of differentiation.

In calculus, the power rule of derivatives is a method of finding the derivative of a function that is the multiplication of two other functions for which derivatives exist. The rule itself is a direct consequence of differentiation

In calculus, the chain rule of derivatives is a method of finding the derivative of a function that is the composition of two functions for which derivatives exist. The rule itself is a direct consequence of differentiation..

In calculus, the sum rule in differentiation is a method of finding the derivative of a function that is the sum of two other functions for which derivatives exist. The sum rule in integration follows from it. The rule itself is a direct consequence of differentiation.

Trapezoidal / Trapezium Rule is a method of finding an approximate value for an numerical integral, based on finding the sum of the areas of trapezia. Trapezium rule is also known as method of approximate integration. A slight underestimate will often be cancelled by a similar slight overestimate from another trapezium. Using narrower intervals will improve accuracy.

Simpson's 1/3 Rule Numerical Integration is used to estimate the value of a definite integral. It works by creating an even number of intervals and fitting a parabola in each pair of intervals. Simpson's rule provides the exact result for a quadratic function or parabola.

Romberg's Method Numerical Integration is based on the trapezoidal rule, where we use two estimates of an integral to compute a third integral that is more accurate than the previous integrals. This is called Richardson's extrapolation.

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