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