True or false? If f(x)=g(x)+c then f '(x) = g'(x)?

True or false? If f(x)=g(x)+c then f '(x) = g'(x)





Does that c really make a difference? the only instance I can think of that would make F(x) = g(x) +c is when c = 0True or false? If f(x)=g(x)+c then f '(x) = g'(x)?
if c=0


then its true





if its not equal to zero, its falseTrue or false? If f(x)=g(x)+c then f '(x) = g'(x)?
Well the question isn't asking whether f(x) = g(x) + C





What this is saying is that if you have one function defined by another function plus a constant, whether the derivative of one function is equal to the derivative of the other function, and the answer is true. You can use the sum and different property of derivatives as such.





f(x) = g(x) + C





d/dx [f(x)] = d/dx [g(x) + C]





f`(x) = g`(x) + d/dx [C]





The derivative of any constant is zero so





f`(x) = g`(x)








Therefore the statement is true.
Yes it is true and yes the c does make a difference.





Basically what it is saying is that you can move any function up or down without changing its slope.





so


y = x虏 + 2x


has the same slope for x as


y = x虏 + 2x + 8


it has just been moved eight units higher.
that is true





c is a constant, what is the derivative of a constant? it is zero.
True