Algebra Examples

$e^{x^{2}}$

Step 1

Since $e^{x^{2}}$ is constant with respect to $e$ , the derivative of $e^{x^{2}}$ with respect to $e$ is $0$ .

$f' (e) = 0$

Step 2

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

$f'' (e) = 0$

Step 3

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

$f''' (e) = 0$

Step 4

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

$f^{4} (e) = 0$