Derivatives by the Limit Process

When you plug a given point into the derivative of a function, you get this.

• tangent line

• normal line

• slope

• average rate of change

Use the definition of the derivative (aka the limit process) to find the derivative of y=x^2+9 (be ready to show work on the test).

• x^2

• 2x+9

• 2

• 2x

This is NOT a correct notation for a derivative

• y ' (say it as "y prime")

• f '(x) (say it as "f prime of x")

• dy/dx

• dx/dy

Use the definition of the derivative to find the derivative of y=x^2-2x+3 (be ready to show work on the test).

• y ' = 2x - 2

• y ' = 2x^2

• y ' = 2x

• y ' = x^2

Write the slope of the line tangent to the graph of y=x^2-2 at the point x = 8.

• 2

• -4

• -8

• 16

This is the official name for zero divided by zero (also infinity divided by infinity)

• indeterminant form

• indeterminate function

• indescribable form

• indescribable function

It's where the graph of your function and the tangent line should always touch.

• at the y-intercept

• at the given point

• at the x-intercept

• at infinity

Which is NOT a term for slope?

• rate of change

• derivative

• rise over run

• tangent line

This is a line that touches the function at a given point and has a slope that is equal to the instantaneous rate of change at a given point.

• normal line

• tangent line

• delta line

• secant line

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing