## anonymous 5 years ago what's the derivative of f(x)=4?

1. anonymous

0

2. anonymous

how did you get that?

3. anonymous

Think of the equations as: $f(x)=4x^0$ because any number (or variable in this case) to the zero power is the same as 1. Using the power rule ...$f \prime(x)=0*4.... = 0$ notice that I'm ignoring the rest of the variable terms as multiplying by the 0 power zeros the entire answer. So the deriviative is 0. Think of it this way... The derivative is the slope of a line tangent to our graph at some point. BUT, y=4 is a flat line. So ANY tangent along this horizontal line will have a slope of zero.