Limits & Secant/Tangent Lines
Continuity & Definition of Derivative
Power, Product and Quotient Rules
2nd Derivatives & Inflection Points
Calculus Puns :)
100
Slope of the secant line from (-13,5) to (-8,-2)
What is
-7/5?
100
Intervals where f(x) is continuous
What is
(-oo,-4)∪(-4,2)∪(2,4)∪(4,oo)?
100
The critical point(s)
What is 1,5 & 6?
100
Second derivative of
f(x) = 3x^7-6x^4+8x^3-12x+18
What is
f'(x) = 21x^6-24x^3+24x^2-12?
100
I failed my Calculus exam because I was seated between two identical twins
It was very difficult to differentiate between them
200
A) The instantaneous rate of change at a single point
B) The average rate of change on an interval of points
A) What is the slope of a Tangent line?
B) What is the slope of a Secant line?
200
Interval at which
(9x^2+x+1)/(6x^2+11x-10)
is continuous
What is
(-oo,-5/2)∪(-5/2,2/3)∪(2/3,oo)?
200
Derivative of
f(x) = 6x^4-8x^2+5
What is
f'(x) = 24x^3-16x?
200
A) the original function
B) the derivative of the original function
A) What is the red graph?
B) What is the green graph?
200
Why do they never serve beer at a math party?
Because you can't drink and derive...
300
Limit as it approaches from the right = 5
Limit as it appraoches from the left = -1
Limit DNE
What is 2?
300
Value of a where f(x) is continuous:
f(x)={(2x^2,+,7x,if x≤a),(-6x,+,7,if x>a):}
What is
1/2 and -7?
300
Derivative of
f(x) = x^3(3x^2+9x-4)
What is
f'(x) = 15x^4+36x^3-12x^2?
300
The inflection points of
f(x) = x^4-3x^3
What is
0 and 3/2?
300
What's the derivative of Amazon with respect to cost of shipping?
Amazon Prime!
400
lim_(x->3) (x^3+2x^2-9x-18)/(4x^2-4x-24)
What is
3/2?
400
Derivative using the definition of
f(x) = -3x^2+4
What is
-6x?
400
Derivative of
f(x) = (4x^2-x)(x^3-8x^2+12)
What is
f'(x) = 20x^4-132x^3+24x^2+96x-12?
400
Sign graph of
f(x) = x^4 -12x^2
400
Why was the parent function upset with its child?
It was stretched to its limit.
500
lim_(x->0) (sqrt(x+2)-sqrt(2))/x
What is
1/(2*sqrt(2))?
500
Derivative using definition of
f(x) = sqrt(4x-5)
What is
2/sqrt(4x-5)?
500
Derivative of
f(x) = (3x+x^4)/(2x^2+1)
What is
f'(x) = (4x^5+4x^3-6x^2+3)/(2x^2+1)^2?
500
Derivative of
y = ln(5x^4)
What is
y' = 4/x ?
500
Dolphins doing calculus be like
(eᴱ)' = Eeᴱ