Derivative Rules
What is the product rule?
f'g+g'f
ax=ay then x=?
x=y
What does the graph of the derivative describe?
It shows all the slopes of lines tangent to the original graph
Mrs. Daley's
How many years has calculus been around for? 360 years, 436 years, 487 years or 542 years?
360
What is the quotient rule?
f'g-g'f/ g2
logb(xy)=logbx+?
logbY
What does it mean when f'(x)= 0
A maximum, minimum, or critical point
6
What does calculus mean in latin?
small stone
What is the derivative of ax?
ax x ln(a)
ln(x3-2)=?
3x2/x3-2
How do you decided whether a critical point is a maximum or minimum?
Positive to negative = max; negative to positive =min
What object was stolen off Ms. Gans desk this year?
A dinosaur
Why did Newton invent calculus?
Newton was studying ice and trying to understand how things moved, Calculus helped him explain motion, gravity, and cooling rates.
What is the derivative of logax?
1/x times 1/x
log4(2x5)=?
5/xln(4)
What does it mean when f''(x)= 0
It means the second derivative of a function is zero at that point
How much money was donated to BREATHE Ms. Gans for our class?
$30
Who invented limits?
Ancient Greeks
What is the chain rule?
(f’ º g) × g’
d/dx(ln(2x3-3x+1))
4x-3/(2x-1)(x-1)
How do you figure out when the original graph, f(x), is concave up?
When f''(x)>0
Where did Ms. Gans go to college?
Smith College
Give a real world example of where calculus is used
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