Calculus Concepts

noun a financial product that derives its value from an underlying asset

adjective derived from another source

• The derivative of a function at a given point is the rate at which the function is changing at that point.
• I'm having trouble understanding how to find the derivative of this function.
• I totally bombed the quiz on derivatives today.
• The new product is a derivative of the original design, with some added features.

noun a mathematical concept used in calculus to find the antiderivative of a function

adjective describing the type of integral that does not have specified limits of integration

• The process of finding the indefinite integral of a function involves finding the antiderivative of that function.
• When you're looking for the indefinite integral of a function, you're basically trying to find the original function that it came from.
• Dude, I spent hours trying to crack that indefinite integral problem.
• Finding the indefinite integral is like unraveling a mystery to reveal the hidden function within.

noun a mathematical function that is the reverse of the derivative of another function

• The antiderivative of a function f is a function F whose derivative is equal to f.
• Finding the antiderivative of this function is a bit tricky.
• I'm trying to figure out the antiderivative of this crazy function.
• Understanding the antiderivative is like finding the missing piece of a puzzle.

noun a noun is a word that names a person, place, thing, or idea. In this case, 'convergence' is a noun as it refers to the act of converging or coming together.

adjective an adjective is a word that describes or modifies a noun. In this case, 'absolute' is an adjective that describes the type of convergence as being complete or total.

• The series exhibits absolute convergence, as the sum of the absolute values of the terms converges.
• The absolute convergence of the series means that the sum of the terms converges.
• When the series has absolute convergence, it means the terms add up nicely.
• The absolute convergence of the series is like having all the pieces of a puzzle fit perfectly together.