Includes both Calculus I and II
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Table of Contents
Limits and Continuity: Limit of a Sequence | Limit of a Function | Limit of a function at infinity | Continuity | Classification of Discontinuities
Derivative: Computing the derivative | Quotient Rules | The Chain Rule | Implicit Function | Related Rates | Product Rule
Table of derivatives: General differentiation rules | Derivatives of simple functions | Derivatives of exponential and logarithmic functions | Derivatives of trigonometric functions | Derivatives of hyperbolic functions | Derivatives of Inverse Trigonometric Functions
Integration (Antiderivative): Integral | Arbitrary Constant of Integration | The Fundamental Theorem of Calculus
Table of Integrals: Rules for integration of general functions | Integrals of simple functions | Rational functions | Irrational functions | Logarithms | Exponential functions | Trigonometric functions | Inverse Trigonometric Functions | Hyperbolic functions | Inverse hyperbolic functions | Definite integrals lacking closed-form antiderivatives | The "sophomore's dream" | Integral Curve | Euler-Maclaurin Formula | Trapezium rule
Logarithms and Exponentials: E - base of natural logarithm | Ln(x) | Hiperbolic functions
Applications of the Definite Integral in Geometry: Area of a Surface of Revolution | Solid of Revolution
Techniques of Integration: Integration by Parts | The ILATE rule | Integration by Substitution | Trigonometric Substitution | Partial Fractions in Integration of Rational Function | Numeric Integration | Simpson Rule
Principles of Integral Evaluation: Methods of Contour Integration | Cauchy's Integral Formula | Improper Integrals | L'Hopital's Rule
Differential Equations: First-Order Differential Equation | Linear Differential Equation
Examples: A separable first order linear ordinary differential equation | Non-separable first order linear ordinary differential equations | A simple mathematical model | Harmonic Oscillator | Stiff Equation
Numerical Integration Methods: Numerical Ordinary Differential Equations | Euler's Method | Runge-Kutta Methods | Multistep Method
Series: Taylor Polynomials | Taylor Series | List of Taylor series | Lagrange Polynomial
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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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App Developer : Ariful Haque Shisir
Keywords - Calculus, derivative, differentiation, integration, maths, mathematics, numerical, trigonometry, sine, cos, tan, calculator, Cheat , school, college, pocket calculus, solver, math , solver app, math solving app, calculus solver, calculus eqn solver, math solving
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Includes material covered in:
Calculus 1 / Calculus AB
Calculus 2 / Calculus BC
Want to know the tricks of calculus,then this app is designed for you.
This app is a collection Calculus tricks and Calculus cheat sheet.
Calculus is a part of modern mathematics education. A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called mathematical analysis. Calculus has historically been called "the calculus of infinitesimals", or "infinitesimal calculus". The word "calculus" comes from Latin (calculus) and refers to a small stone used for counting. More generally, calculus (plural calculi) refers to any method or system of calculation guided by the symbolic manipulation of expressions. Some examples of other well-known calculi are propositional calculus, calculus of variations, lambda calculus, and process calculus.
In recent days, calculus has become a required course not only for math, engineering, and physics majors, but also for students of biology, economics,psychology, nursing, and business.
One great tip was given to us by a calculus student who has consistently earned high ranks in his math classes. His simple tip has been passed onto many students and proves to helpful in allowing students to memorize math lessons quickly.
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