Calculus CH 2.4-2.6 Test

Question 1

y=tanx, y’= ?

Answer 1

sec^2(x)

Question 2

y=cscx y’= ?

Answer 2

-cotxcscx

Question 3

y = secx y’=?

Answer 3

tanxsecx

Question 4

y=cotx y’=?

Answer 4

-csc^2(x)

Question 5

Average Velocity:

Answer 5

Slope of secant
Change in distance/ Change in time:
(s(t1) - s(t0)) / (t1 - t0)

Question 6

Instantaneous Velocity:

Answer 6

Slope of tangent line at t0
Derivative of position equation

Question 7

Acceleration:

Answer 7

Second derivative of position equation
Derivative of velocity