Intro to Calc: Chapters 2 and 3 Project

Question 1

Write the equation for the tangent line to f(x)=3x^2-6x+4 at x=6

Accepted Answer

y-76=30(x-6)

Question 2

Use the power rule to find f'(2) if f(x)=3x^2-2x+6

Accepted Answer

10

Question 3

Given a table and asked to find f'(3), which expression would be the best approximation?

Accepted Answer

c

Question 4

When graphing the derivative of f(x)=x^3+1/2x +3, why is the graph above the x-axis when x>0?

Accepted Answer

The slope of the function is positive

Question 5

What type of Riemann sum is the graph below? (centralmathteacher.com)

Accepted Answer

left hand

Question 6

Expand the expression below.

Accepted Answer

5+7+9+11+13

Question 7

Use the power rule to find f'(3) if f(x)=x^2-3x-2.

Accepted Answer

3

Question 8

Given a table and asked to find f'(16), which expression would be the best approximation?

Accepted Answer

c

Question 9

What is the derivative of sin x?

Accepted Answer

cos x

Question 10

What is the difference between a Riemann sum and sigma notation?

Accepted Answer

Riemann sum is a special kind of sigma notation.

Questions 10