Derivatives

Question 1

What is the derivative of sinx

Answer 1

cosx

Question 2

what is the derivative of cosx

Answer 2

-sinx

Question 3

what is the derivative of tanx

Answer 3

sec2x

Question 4

what is the derivative of cotx

Answer 4

-csc^2x

Question 5

what is the derivative of secx

Answer 5

secxtanx

Question 6

what is the derivative of cscx

Answer 6

-cscxcotx

Question 7

what is diferentiability

Answer 7

if the derivative of the right hand equals the derivative of the left hand, hints at continuity

Question 8

what is the derivative of e^x

Answer 8

e^x

Question 9

what is the derivative of (lnx)

Answer 9

1/x

Question 10

what is the slope of a secant line between two points equal to

Answer 10

average rate of change

Question 11

what is the derivative equal to

Answer 11

instantaneous rate of change

Question 12

displacement

Answer 12

change in y, s(t2)-s(t1)

Question 13

average velocity

Answer 13

change in position/change in time, displacement/time

Question 14

“instantaneous” velocity

Answer 14

derivative of s(t) or function given

Question 15

position

Answer 15

s(t) at whatever t value is given

Question 16

what is the derivative of f(x)=c

Answer 16

derivative is 0

Question 17

what is the derivative of f(x)=x

Answer 17

derivative is 1

Question 18

what is the derivative at y=kf(x)

Answer 18

derivative is (k x the derivative function)