Differentiation Rules
What is the product rule?
f(x)=uv
f'(x)=u'v+v'u
What is the derivative of sin(x)?
cos(x)
What is the formula for gradient?
m=rise/run
What is the quadratic formula?
(-b±√(b2-4ac))/2a
Why is 6 afraid of 7?
Because 7 8 9!
What is the quotient rule?
f(x)=u/v
f'(x)=(u'v-v'u)/v2
What is the derviative of cos(x)?
-sin(x)
What does the graph of the derivative show?
It shows the gradient of the function at each point.
What is the discriminant?
(b2-4ac) - the expression underneath the square root sign
Which of King Arthur's knights made the round table?
Sir Cumference
What is the chain rule?
y=f(g(x))
y'=f'(g(x))g'(x)
What is the derivative of
-sin(x)?
-cos(x)
What does it mean when f'(x)=0?
A stationary point - a minimum, maximum or point of inflection.
What does it mean when the discriminant is less than zero?
There are no real solutions.
What did a2 and b2 say to c?
You just got squared!
What rule would be used to solve the following?
y=exsin(x)
What is the derivative of
-cos(x)?
sin(x)
How can you tell if a stationary point is a minimum or a maximum?
A positive value means a maximum, a negative value means a minimum.
What is a technique used to factorise a cubic or quartic function?
Polynomial long division or synthetic division.
Why is the derivative of sine cosine?
Just cos!
What rule would be used to solve the following?
y=esin(x)
The chain rule.
What is the derivative of tan(x)?
1+tan2(x)
OR
sec2(x)
What is the formula for first principles?
limit f(x-h)-f(x)
h->0 h
How many roots does a polynomial of degree n have?
Why did the student get 120 zooper doopers when they shouted that they needed 5?
Because 5! = 120