Dabo CalcAB Sem1 FINAL Day1

Front

What is the definition of a definite integral?

Back

Front

What does it mean for a function to be concave down?

Back

A function is concave down on an interval if its second derivative is negative on that interval, indicating that the graph of the function is curving downwards.

Front

How do you find the derivative of a function?

Back

Front

What is the unit circle and its significance in trigonometry?

Back

The unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane. It is used to define the sine, cosine, and tangent functions for all angles.

Front

What is the relationship between the first and second derivatives of a function?

Back

The first derivative of a function gives the slope of the tangent line at any point, while the second derivative indicates the concavity of the function.

Front

What is the formula for the derivative of a power function?

Back

Front

What is the significance of critical points in calculus?

Back

Critical points are values of x where the first derivative is zero or undefined. They are important for finding local maxima and minima of a function.

Front

Back

Front

What is the Fundamental Theorem of Calculus?

Back

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if its first derivative is positive on that interval, indicating that the function's values are rising.