Subject: Calculus
Derivative Of A Constant
Constants oftentimes appear in mathematical functions, equations and expressions. Sometimes, it makes a calculation hard to solve. But for this case, we don't have to worry. Find out why...
Rule #1: (Derivative of a Constant)
|
If f(x)=k for all x, where k is a constant, then the derivative of f(x) is zero. That is f'(x)=0. |
Example #1
Find the derivative of f when
f(x)=9.
According to the Rule discussed above, the derivative of 9 is zero.
Example #2
Find the derivative of f when
f(x)=\pi.
\pi - pi is a mathematical constant. Thus, its derivative is zero.
Example #3
Find the derivative of f when
f(x)=0.00001.
\pi - pi is a mathematical constant. Thus, its derivative is zero.
Example #4
Find the derivative of f when
f(x)=c.
\pi - pi is a mathematical constant. Thus, its derivative is zero.
Example #5
Find the derivative of f when
f(x)=0.
\pi - pi is a mathematical constant. Thus, its derivative is zero.
NEXT TOPIC: Sum rule in differentiation