Calculus Examples

$f' (x) = 2^{20}$

Step 1

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

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

Step 2

Raise $2$ to the power of $20$ .

$\int 1048576 d x$

Step 3

Apply the constant rule.

$1048576 x + C$

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.

$f (x) = 1048576 x + C$