Derivatives
Methods
Anti derivatives
People
Bands
100

Find the derivative of

Cos(x)

-Sin(x)

100

Given v(t), this is how you find displacement from a to b.

Area under v(t) or

 s(b) - s(a) or 

antiderive v(t) and use the fundamental theorem.

100

Find the anti derivative of

ex

ex + C

100

His name is famously associated with evaluating limits of indeterminate forms

Who is Guillaume de L'Hopital

100

George, John, Paul, Ringo

Who are The Beatles?

200

Find the derivative of

sec(x)

sec(x) tan(x)

200

The name of the rule when you derive 

 y = cos(4x - 2)

What is the chain rule?

200

Find the area under y = x from 1 to 3.

4

200

Often considered the father of Calculus

Who is Sir Issac Newton

Or

Gottfried Wilhelm Leibnitz

200

Mick, Keith, Charlie, Ronnie

Who are The Rolling Stones
300

Find the derivative of

ln(x2)

2x/x2 or 1/x

300

This is how you find the absolute max of f(x).

f'(x) = 0, find critical values and do candidates test for largest f(x) value.

300

Find the anti derivative of

Sec2(3x)

Tan(3x)/3 + C

300

This famous rock star is the lead member of the band Peaceful Demon

Who is Mark Sunheimer

300

Freddie, John, Brian, Roger

Who are Queen?

400

Find the derivative of

(x2+2)1/2

.5(x2+2)-1/2 (2x)

400

Given s(t) = position of an object, this is how you determine when s(t) is speeding up.

When s ' (t) and s''(t) have the same sign.
400

Find the area under y = |x| from -1 to 5.

13

400

This man is mostly known for the rigorous formation of the integral

Who is Bernhard Riemann?

400

Dave, Nate, Pat, Taylor, Chris, Rami

Who are Foo Fighters?

500

Find the derivative of

tan-1(2x)

2/(1+(2x)2)

500
A circle is changing size. When the radius is 6 ft and is increasing at a rate of 1 ft/sec, find the rate that the area is changing at that time in terms of pi.

What is 12pi ft/sec.

500

If v(t) = 2t - 6, find the average velocity on the interval (2,4).

0

500

Katherine Johnson's work at NASA calculating trajectories, launch windows, and emergency return paths for Project Mercury spaceflights was prominently featured in what 2016 film?

What is Hidden Figures?

500

Mike, Adam, Chris, Dan, Craig

Who are The Action! ?

M
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