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For example, the derivate of x2 is 2x; then, an antiderivative of 2x is x2. That is to say, you need to find a function whose derivative is the given function. The antiderivative is also known as the indifinite integral. If you can find an antiderivative for a function, it is fairly easy to find the area under the curve of the original function - i.e., the definite integral.
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What the differentiation and anti-differentiation formula?
There is no single formula for differentiation and anti-differentiation.The deriviative of a function y = f(x) is the limit of delta y over delta x as delta x approaches zero.OR:If f(x)=axn,f'(x)=(an)xn-1The deriviative of 2x3 would be 6x2.The anti-deriviative of a function is the reverse operation, i.e. the function is the deriviative of the anti-deriviative.Anti differentiation introduction:Anti differentiation is also called as integration process. It gives the reverse value of the differentiation equation. Anti differentiation is also called as anti derivative of the function. In this anti differentiation, f(x) is anti derivative of the function F(x). Anti differentiation is used for finding the area of the region under the certain curve. Anti differentiation symbol is denoted as ∫.General formula for anti differentiation:∫ xn dx = [xn + 1 / (n + 1)]+ c∫ k dx = k ∫ dx∫ udv = uv - ∫ v du∫ (w + y) dx = ∫ w dx + ∫ y dxanti-differentiation
What is the importance of differentiation and integration in real life?
There would be no modern technology without it. There would be no physics beyond the basic "high school" level. Physics leads to technology.
What is some vocabulary for calculus?
Calculus catch phrases:Dealing with two fundamental operations, differentiation and integration, carried out on functions.Purely theoretical aspects of these operations and their interrelation.Standard functionsDerivative of a function of one variable
What is differentiation of sin x?
differentiation of sin x + cos x.
What are some applications of differentiation in real life?
Yes if it was not practical it was not there. You can see the real life use on this link http://www.intmath.com/Applications-differentiation/Applications-of-differentiation-intro.php
