#concept-pamphlet #todo: not complete
Derivatives are so cool
Terms
Intuitively: knowing the instantaneous rate of change of z relative to y and that of y relative to x allows one to calculate the instantaneous rate of change of z relative to x as the product of the two rates of change
As put by George F. Simmons: “If a car travels twice as fast as a bicycle and the bicycle is four times as fast as a walking man, then the car travels _____ as fast as the man.”
?
2 × 4 = 8 times
What is the partial derivative of the function f(x,y)=x+y with respect to x?
?
and
What is the partial derivative of the function f(x,y)=xy with respect to x?
?
What is the partial derivative of the function f(x)=3x with respect to y? ? 0
What is the partial derivative of the function f(x)=0 with respect to x? ? 0