If a whole number is multiplied by a function it is then multiplied by the derivative of the function unchanged.
What is the constant multiple rule?
100
dY/dX=cos(x)
What is the derivative of Sin(x)?
100
d/dx{ArcSin(x)}=...
What is 1/√(1-x2)?
100
d/dx{sin2(2x)}=
What is 2sin(2x)*2 or 4sin(2x)?
100
The Largest number of zeros in d/dx(5x4+3x2+6x).
What is 3 possible zeros?
200
The derivative of a function that is added or subtracted from another function is equal to the derivative of the first added or subtracted from the second.
What is the sum and difference rule?
200
dY/dX=Sec2(x)
What is the derivative of Tan(x)?
200
d/dx ArcCos(x)=
What is -1/(x√(x2-1))
200
d/dx{Sin(x)*x2}=
What is 2xSin(x)+Cos(x)x2?
200
The number of Maximums or Minimums can there be in d/dx(6x7+5x5-2x2) on the interval -50≤x≤50.
What is 8 critical points?
300
The law you use for constant exponents.
What is the power rule?
300
dY/dX=-Csc(x)Cot(x)
What is the derivative of Csc(x)?
300
dy/dx=1/(1+x2)
What is the derivative of Tan-1(x)?
300
d/dx{Sin2(x2)}
What is 2Sin(x2)*Cos(x2)*2x or 4xSin(x2)Cos(x2)?
300
The number of maximums or minimums on the graph of Tan(x) or Cot(X).
What is zero because of oscillating infinite discontinuities?
400
Low d High Mina High d Low over Low Low
What is the Quotient Rule?
400
The derivative of Sec2(x).
What is 2Sec(x)*Tan(x)Sec(x) or 2Tan(X)Sec2(x)?
400
dy/dx=±(-1)/{x√(x2-1)}
What is the derivative of Arc Csc(x)?
400
d/dx Sinx(x2)
What is Sinx(x2)* ln{Sin(x2)}*Cos(x2)*2x?
400
The Number of Maximums for Sin(x) on the interval -6∏≤x≤6∏.
What is 6? Reasoning (6∏-(-6∏))/2∏=12∏/2∏=6
500
when there are multiple "layers" of a function....
What is Chain Rule?
500
d/dX{Sin(x)*Cos(x)}
What is Cos2(x)-Sin2(x)?
500
dy/dx=±{x√(x2-1)}-1
What is the derivative of ArcSec(x)?
500
d/dx{Sin(Tan2(4x))}
What is Cos((Tan2(4x))*2Tan(4x)*1/(16x2-1)*4
500
Surprise! History Time!He referred to calculus as fluxions which he published in Philosophiæ Naturalis Principia Mathematica and is honored with Gottfried Leibniz as the father of calculus.