The relationship and the definition of derivatives and antiderivatives is described in this video. First, consider a function F(x)=x^35x+2 and another with small 'f', f(x)=3x5. f(x) here is the derivative of F(x). However, on the contrary, F(x) is said to be the antiderivative of f(x). There is a catch though; even though F(x) has only one derivative in the form of f(x), f(x) here has more than one antiderivative. This is because f(x)'s antiderivatives are of the form F(x)=x^35x+c, where c stands for any constant number. For example, f(x) antiderivatives can be any of the following: F(x)=x^35x+2, F(x)=x^35x, F(x)=x^35x+4... and so on.
 Hot
 Latest

How To: Remember "greater than" & "less than" symbols

How To: Use ">" (greater than) and "<" (less than) symbols

How To: Find the Percent Given Two Numbers

How To: Normalize a data set into another scale

How To: Find a number given Its percent

How To: Solve an equation with a radical under a radical

How To: Do long division without a calculator

How To: Solve percentages without a calculator

How To: Calculate Faster Than a Calculator

How To: Convert between diameter and radius

How To: Find the slope from a set of points

How To: Subtract a mixed number from a proper fraction in basic math

How To: Solve problems involving functions in algebra

How To: Find the equation of a circle given: center & tangent

How To: Calculate the height and volume of a pyramid

How To: Find the Slope Given 2 Ordered Pairs

How To: Find a percent of a number

How To: Find a missing side of a triangle, similar to another

How To: Learn Calculus in 20 minutes

How To: Solve problems involving deductive reasoning

How To: Remember "greater than" & "less than" symbols

How To: Use ">" (greater than) and "<" (less than) symbols

How To: Find the Percent Given Two Numbers

How To: Normalize a data set into another scale

How To: Find a number given Its percent

How To: Solve an equation with a radical under a radical

How To: Do long division without a calculator

How To: Solve percentages without a calculator

How To: Calculate Faster Than a Calculator

How To: Convert between diameter and radius

How To: Find the slope from a set of points

How To: Subtract a mixed number from a proper fraction in basic math

How To: Solve problems involving functions in algebra

How To: Find the equation of a circle given: center & tangent

How To: Calculate the height and volume of a pyramid

How To: Find the Slope Given 2 Ordered Pairs

How To: Find a percent of a number

How To: Find a missing side of a triangle, similar to another

How To: Learn Calculus in 20 minutes

How To: Solve problems involving deductive reasoning
Be the First to Comment
Share Your Thoughts