Limits
The value a function approaches as x gets closer to a number.
What is a limit?
The derivative of x5.
What is 5x4?
The method used when variables cannot easily be separated.
What is implicit differentiation?
The process of finding an antiderivative.
What is integration?
The derivative of a constant.
What is 0?
A function with no breaks, holes, or jumps is called this.
What is continuous?
The rule used to differentiate f(g(x)).
What is the Chain Rule?
This rule is used when multiplying two functions
What is the Product Rule?
The symbol used for integration.
What is ∫?
The derivative of ex.
What is ex?
This method is used to simplify expressions when evaluating limits that result in 0/0, often by canceling common factors.
What is factoring and simplifying?
This rule is needed to correctly differentiate an expression like (x2+1)(x−3)/x.
What is both the Product Rule and Quotient Rule?
This technique is used to find the derivative of inverse functions by swapping roles of x and y.
What is inverse function differentiation?
A method using rectangles to estimate area.
What is a Riemann Sum?
This quantity is found by taking the derivative of a position function.
What is velocity?
A function that is not continuous at a point is said to be this there.
What is a discontinuity?
The derivative of sinx.
What is cos x?
This rule is needed to differentiate (3x+1)5.
What is Chain Rule?
The theorem linking derivatives and integrals.
What is the Fundamental Theorem of Calculus(FTC)?
The derivative of ln x.
What is 1/x?
The notation lim x→a f(x) is read as this.
What is "the limit of f(x) as x approaches a"?
The derivative of tan x.
What is sec2x?
This notation represents the derivative of a function with respect to x.
What is dy/dx
The constant added to every indefinite integral.
What is +C?
This type of integral is used to compute total accumulated change over an interval.
What is a definite integral?