Antiderivative of 0, responses


Wanapon Techagaisiyavanit

Any constant is an antiderivatives of 0 since by taking the derivative of any constant is equal to 0.


Ashlea

Functions f(x) = C are antiderivatives of the function 0, where C is some constant number.


Youngshin Cho

the antiderivative of the constant 0 is C


catherine chan

The antiderivatives of the constant function 0 is a constant number. for example, if we take the derivatives of 50, the dx/dy (50) will be 0 because it's a constant. So, the derivatives of every constant is 50 and that means the antiderivatives of 0 is all real number. ( a constant)


Yemsrach Woubbie

All functions of constant numbers are antiderivatives of 0.


Hilary Moore

anything that becomes zero when you find its derivative. For example, any functions where y=a real number (the derivative of a real number is zero). Also, any function where the sums of everything equal zero. For example f(x)=2x-2x.


Anuradha Tulachan

f(x)=sin^2(x)+ cos^2(x) f(x)=1 f(x)= sin 90


Bushra Husain

Any function f(x)=C, where C is any constant. The derivative of a constant is 0.


sarah fraser

functions that are antiderivatives of the function 0 are C


ingrid e. frau

C is the antiderivative of the constant function 0.


ingrid e. frau

C is the antiderivative of the constant function 0.


Alia Rahman-Khan

The function for the antiderivative of the constant funstion 0 would be C.


scaree

C = constant


katie

any function where the graph is a straight line has a derivative of zero. i.e. y=3 , etc.


collin hull

any constant...such as y=3 or y=5


eve

i think that any constant would be the antiderivative but it wouldn't be a function because there would be no variable. for example 3+2 is not a function but the derivative of it is 0+0 so i'm not sure of the answer to the question.


Claire

Any other constant function, such as y=4 or y=17.


Melanie LaFavre

y=C, y=sin^2(ax)+Cos^2(ax), y=(0)x, I'm sure there are many more examples. Any function that has a slope of zero, I think there are limitless possiblities.


Tasha Sakaguchi

When you look at 0, it can be a constant, or the product of a derived constant. so if you use the power rule, you would add 1 to x, and divide x by one, giving you x. when you have a constant in the eqn the derivative is 0, so zero could be a constant as well. 0 could esentially be the derivative of any function that applies to the power rule, raised to the 1.


Anonymous

THe book states that the antiderivative function for a constant can only be determined by initial conditions or other given information, otherwise it remains + the constant.


Mark

If the derivative of a function is 0, then its graph has zero slope -- this is the graph of the constant function. So the function must be a constant C. f(x)=C.