Derivatives I
e or ln
Derivatives II
Stat/Probability
Misc
100
If f(x) = sin2(x), find f'(x).
What is 2sin(x)cos(x) ?
100
Find the derivative of y:
ln(x^3 + 2)^5
What is:
(15x^2) /(x^3 + 2)
100
2cos^3 (4x^2 )
Find the first derivative of: y=
What is: y' =
-48x sin(4x^2)(2cos 4x^2)^2
100
Find the median and interquartile range of the following box and whisker plot
What is a median of 12 and an IQR of 9?
100
Name a sport that Mr Bart played in high school?
What is: swimming
200
Find the first derivative of y= (x + 2/x)2. (simplified form- 2 terms):
What is 2x - (8/ (x3))?
200
Find the first derivative of:
y= e^(ln(2 + 4x^4))
What is:
y' = (16x^3 e^(ln(2x^4 +1)))/(2x^4 + 1)
200
Find the first derivative of :
y =(1 - cos x)/ sinx
What is:
y = (1- cosx)/ sin^2 x
200
Given that
(A cup B)' = emptyset, P(A'|B)=1/5 and P(A)=14/15. Find P(B)
What is P(B) = 1/3?
200
Birthday:
What is: August 24 ?
300
Find the derivative of: y= sin x cos x
What is: y'= cos2x - sin2x ?
300
Find the first derivative of : y=
-2e^(x^2 - 3x)
What is: y' =
(-4x+6) e^(x^2 - 3x
300
Find the derivative of: y=
(x^2)/(2sqrtx + 1
What is: y' =
(x(3sqrtx + 2))/(2sqrtx + 1)
300
Let A and B be events such that P(A) = .5, P(B)=.4, and P(A or B)=.6. Find P(A given B):
What is .75?
300
What year was Mr. Longnecker's first year teaching at Adams?
What is 1969?
400
Find the derivative of: y= x2cos x, at x = pi/6.
What is: y' =
(pi*sqrt3)/6 - pi^2/72
400
Find the derivative of:
y= ln(2 + e^(4x^4 ))
What is:
y' = (16x^3 e^(4x^4)) /(2 + e^(4x^4))
400
Find the derivative of:
y= ((-x^3 - 2)^3 +3)^4
What is:
-36x^2 ((-x^3 -2)^3 + 3)^3 (-x^3 - 2)^2
400
2 events A and B such that P(A)= 0.58 and P(A and B) = 0.16. Given P(A' and B') =0.28, Find P(A given B'):
What is 0.6 ?
400
What year was this song released?
What is: 1978?
500
Find the derivative of: y= 3x2sin(4x).
What is: y'= 6x[sin(4x) + 2xcos(4x)] ?
500
Find the value of the slope of the graph of f(x)= 0.5(ex)- 7ln x , at the point x=ln4.
What is : 2 - (7/(ln 4))?
500
Find the first derivative: y=
2/(3x) + 5(x)^(1/3) + (3x^2 - 1)/(sqrtx
What is: y' =
-2/(3x^2) + 5/(3x^(2/3)) + (9x^(1/2))/2 +1/(2x^(3/2))
500
Jane commutes to work 5 days a week and travels by either bike or train. When it rains, the prob. Jane rides her bike is 0.2. When it does not rain, the prob. she catches the train is 0.3. The prob. it rains on any given day is 0.4. Given Jane catches the train, find prob. it was raining:
What is 0.64 ?
500
Name Derek Jeter's retired number for the New York Yankees.
What is 2?