Derivatives Day 1!

Select all that correspond to the concept and notation:

Find the slope of the curve y=f(x) at x=3

• Average rate of change

• Instanatneous rate of change

• $\frac{\text{d}x}{\text{d}y}$

• $\frac{\Delta y}{\Delta x}$

Select all that correspond to the concept and notation:

Given the position equation y=f(x), find the velocity of the rocket 5 seconds after launching

• Average rate of change

• Instanatneous rate of change

• $\frac{\text{d}x}{\text{d}y}$

• $\frac{\Delta y}{\Delta x}$

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Select all that correspond to the concept and notation:

Find the average velocity of the car on [3,5], given the position equation f(x)

• Average rate of change

• Instanatneous rate of change

• $\frac{\text{d}x}{\text{d}y}$

• $\frac{\Delta y}{\Delta x}$

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Select all that correspond to the concept and notation:

Find the euqation of the tangent line to the curve y=f(x) at the point x=3

• Average rate of change

• Instanatneous rate of change

• $\frac{\text{d}x}{\text{d}y}$

• $\frac{\Delta y}{\Delta x}$

Graphically, the derivative f'(a) is the ___________ of the tangent line to the curve y=f(x) when x=a.

Numerically, the derivative f'(a) is the _____________________ rate of change of y=f(x) with respect to x when x=a

When the derivative is positive the function is:

• increasing

• decreasing

• constant

When the derivative is a large negative number (like -100) the curve is:

• almost flat

• increasing very rapidly

• falling very fast

Tags

CCSS.HSF.IF.B.4

Shown are the graphs of 2 runners - which of the following is true:

• Runner A wins

• Runner B wins

• B is always running slower than a

• A runs the whole race at the same (a constant) velocity

Tags

CCSS.8.EE.B.5

At what time do they have the same velocity?

• About 4 seconds

• About 11.5 seconds

• About 9.5 seconds

• at 0 and 14 seconds

Tags

CCSS.8.EE.B.5