Derivative
Tangent lines
First derivative test
100

 calculate the derivative of the following function. f(x)=-0.7x+2

What is -0.7?

100

Find the equation of the tangent line of y = x^2 at x = 3.

What is y=6x-9?

100
What does the sign of f’(x) (i.e. the first derivative) tell you about f?
What is whether it's increasing or decreasing?
200

 calculate the derivative of the following function. f(x) = 2x^2 - 16x + 35

What is 4x-16?

200

Find the equation of the tangent line of y = 4x^3 at x = 1.

What is y=12x-8?

200

Determine the domain of the function f(x)  where it's increasing ? f(x) = (3x+1)²

What is (-1/3 , infinity)?

300

Find the derivative of f(x) = 5 ? 

What is 0 ?

300

Find the equation of the tangent line of y = x^(1/2) at x = 1.

What is y=1/2x+1/2?

300

Find the local extrema of the following function using the first derivative test:y=√(13x²-5x+8). Only the x value 

What is x= 5/ 26?

400

What is the purpose of the derivative? 

What is to find the gradient at a single point or the function?

400

Find the equation of the normal line of y = x^2-2x+3 at x = 4.

What is y=-1/6x+11 2/3 ?

400

Find the local extrema of the following function using the first derivative test:

f(x)= (x²-1)³/ (x²+1), what is f′(x)?

What is x=0, y=-1_?

500

What does the sign of f’’(x) (i.e. the second derivative) tell you about f?

What is concavity?

500

What is your teacher's full name? 

What is ?

500

What is the name of the latest James Bond Movie? 

What is No time to Die ?