Calculus Examples

$f'' (c) = 0$

Step 1

The function $f' (c)$ can be found by evaluating the indefinite integral of the derivative $f'' (c)$ .

$f' (c) = \int f'' (c) d c$

Step 2

The integral of $0$ with respect to $c$ is $0$ .

$0 + C$

Step 3

Add $0$ and $C$ .

$C$

Step 4

The function $f'$ if derived from the integral of the derivative of the function. This is valid by the fundamental theorem of calculus.

$f' (c) = C$

Step 5

The function $f (c)$ can be found by evaluating the indefinite integral of the derivative $f' (c)$ .

$f (c) = \int f' (c) d c$

Step 6

Apply the constant rule.

$C c + C$

Step 7

The function $f$ if derived from the integral of the derivative of the function. This is valid by the fundamental theorem of calculus.

$f (c) = C c + C$