Calculus Examples

$c' (t) = \frac{(t^{2} + 7) \cdot 0.2 - 0.2 t (2 t)}{{(t^{2} + 7)}^{2}}$

Step 1

The function $c (t)$ can be found by evaluating the indefinite integral of the derivative $c' (t)$ .

$c (t) = \int c' (t) d t$

Step 2

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

$c (t) =$