Tangent Rule

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

Given the graph of f(x), what can you tell about f ' (5) ?

• it's positive

• it's negative

• it does not exist

• nothing

What is the equation of the line tangent to the curve y = x² at x = 1?

• y = 2x + 1

• y = 2x - 1

• y = -2x + 1

• y = x - 1

Derivative means the same thing as

• slope of the tangent line

• slope of the normal line

• exponent

• slope of the secant line

Determine if a tangent line is shown in the picture.

• Yes

• No

• Not sure

Name the tangent line. 

• s

• WR

• VT

• QR

Determine if a tangent line is shown in the picture.

• Yes

• No

• Not Sture

Is BD tangent to the circle?

• Yes

• No

Is the given segment tangent to circle K?

• Yes

• No

In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)

• 15

• 6

• -24

• 14