Inverse Trig. Derivative

ArcSec

100

*Daily Double*

The name of Adele's newest album

What is 30?

200

Find:

dy/dxsec^-1(x^3)

What is

3/((absx)sqrt(x^6-1)

300

Find:

d/dxsec^-1(3lnx)

What is:

1/(xabslnxsqrt(9(lnx)^2-1)

ArcSin

100

Find:

dy/dxsin^-1(5x)

What is

5/sqrt(1-25x^2)

200

Find: 

dy/dxsin^-1(2x)

What is?

2/(sqrt1-4x^2)

300

Find the tangent line equation of the curve at the given point

y = arcsin(x) at the point where 

x=sqrt2/2

What is:

y-pi/4=sqrt2(x-sqrt2/2)

ArcCos

100

Find:

d/dxcos^-1(2x^5)

What is:

(-10x^4)/sqrt(1-4x^10)

200

Find:

d/dxarccos(3x^2)

What is

(-6x)/sqrt(1-9x^9)

300

Find the tangent line equation of the curves at the given point:

y = arccos (3x) at the point where 

x=-sqrt3/6

What is: 

y - (5pi)/6=-6(x +sqrt3/6)

ArcCsc

100

Find:

d/dxcsc6x

What is:

-6csc(6x)cot(6x)

This is not an inverse

200

*Daily Double*

A cheetah can go from 0-60 is less than __________

seconds

What is 3 seconds?

300

Find: 

d/dxarc csc(x^6)

What is: 

(-6x^5)/(xsqrt(x^12-1)

ArcTan

100

Find:

d/dxtan(e^x)

What is:

e^xsec^2e^x

200

Find the tangent line equation of the curve at the given point.

y = arctan(x) at the point where 

x=sqrt3/2

What is

y-pi/3=1/4(x-sqrt3/2)

300

*Daily Double*

This item is more powerful, more complex and more clever than any computer ever built.

What is the human brain?

ArcCot

100

Find:

d/dxcot^-1(2x)

What is:

-2/(4x^2+1)

200

*Daily Double*

In the show the Office this is Michael's all-time favorite movie

What is the Crow?

300

Find the derivative:

d/dxcot^-1(4x^4)

What is:

(-16x^3)/(16x^8+1)