# How do you differentiate f(x)=sqrt30?

Oct 11, 2016

0

#### Explanation:

If we consider that for any constant ( a value that does not contain some variable) that comprises a function that is to be derived, that constant is eliminated in the derivation process.

As such, if we consider the general parabolic function;
$f \left(x\right) = a {x}^{2} + b x + c$

Its derivative may be expressed as;

$f ' \left(x\right) = 2 a x + b$

Note that the constant has been eliminated from the expression - effectively giving it a value of zero.

Thus, graphically, as $f ' \left(x\right) = \sqrt{30}$ is a straight line with a gradient of zero - its derivative across the domain $R$ must also be zero.