What is the instantaneous rate of change of $f(x)=xe^(x^2-x)$ at $x=3$ ?

Question

1766 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-24T12:57:12

Instantaneous rate of change of $f(x)$ at $x=3$ is
$6454.86$ unit

$f(x)=x e^(x^2-x) ; x=3$

$f^'(x)= 1*e^(x^2-x)+ x *e^(x^2-x)(2 x-1)$ or

$f^'(x)= e^(x^2-x)+ x(2 x-1) *e^(x^2-x)$

$f^'(3)= e^(3^2-3)+ 3(6-1) *e^(3^2-3)$ or

$f^'(3)= e^6+15 *e^6$ or

$f^'(3)= 16 *e^6 = 6454.86$

Instantaneous rate of change of $f(x)$ is $6454.86$ unit [Ans]

What is the instantaneous rate of change of f(x)=xe^(x^2-x) f(x)=xe^(x^2-x) at x=3 x=3 ?