Functions
What does a linear function look like on the graph?
A function that graphs to a straight line.
What is the derivative of x2?
2x
How is calculus used in physics?
To study motion and forces.
What is the area of a rectangle?
Length times width.
Who is known as the father of calculus?
Isaac Newton
What is the domain of a function?
The set of all possible input values.
What is the derivative of sin(x)?
cos(x)
How do integrals help in finding areas?
By adding up small pieces. (Area under curve)
Chain Rule, Product Rule, and ______ Rule.
Quotient
When was calculus developed?
In the late 1600s
What is the range of a function?
The set of all possible output values.
What is the derivative of ex
ex
How is calculus used in medicine?
To model the spread of disease, determine the half-life of certain drugs, and identify how drugs move through the body.
What unit was the power rule introduced?
Unit 2
What did calculus help people study?
Motion and change
What is a function?
A rule that assigns one output for each input.
What is the derivative of ln(x)?
1/x
How do we use derivatives in real life?
To find rates of change.
What is L'Hôpital's Rule used for?
To find limits.
What did Newton create?
The concepts of derivatives and integrals.
What is a piecewise function?
A function defined by different rules for different parts.
What is the derivative of tan(x)?
sec2(x)
How can calculus be used in economics?
Optimizing profits and identifying trends.
What does the Fundamental Theorem of Calculus connect?
Derivatives and integrals.
When was the Texas Instrument Calculator Invented
1967