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.

f'(x)=0
.

Example #2

Find the derivative of f when

f(x)=\pi.

\pi - pi is a mathematical constant. Thus, its derivative is zero.

f'(x)=0
.

Example #3

Find the derivative of f when

f(x)=0.00001.

\pi - pi is a mathematical constant. Thus, its derivative is zero.

f'(x)=0
.

Example #4

Find the derivative of f when

f(x)=c.

\pi - pi is a mathematical constant. Thus, its derivative is zero.

f'(x)=0
.

Example #5

Find the derivative of f when

f(x)=0.

\pi - pi is a mathematical constant. Thus, its derivative is zero.

f'(x)=0
.

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