Calculus Examples

$f (x) = 28 e^{- 3 t} (e^{2.6 t} - e^{- 2.6 t})$

Step 1

Since $28 e^{- 3 t} (e^{2.6 t} - e^{- 2.6 t})$ is constant with respect to $x$ , the derivative of $28 e^{- 3 t} (e^{2.6 t} - e^{- 2.6 t})$ with respect to $x$ is $0$ .

$0$

Step 2

Since $0$ is constant with respect to $x$ , the derivative of $0$ with respect to $x$ is $0$ .

$f'' (x) = 0$

Step 3

To find the local maximum and minimum values of the function, set the derivative equal to $0$ and solve.

$0 = 0$

Step 4

Since there is no value of $x$ that makes the first derivative equal to $0$ , there are no local extrema.

No Local Extrema

Step 5

No Local Extrema

Step 6