Question

HELP!!!! URGENTLY!!! Find d^2y/dx^2 for y = x^4/600, at x = e

a. 0.02e

b. 0.02e2

c. 0.01e2

d. 0.02

e. 0.01e

Answer 1

First, find y' then y''

Answer 2

\[
y= \frac {x^4} {600}\\
y'= 4\frac {x^3} {600}=\frac {x^3} {150}
\]

Answer 3

\[
y'= 4\frac {x^3} {600}=\frac {x^3} {150}\\
y'' =3 \frac {x^2} {150}\\= \frac {x^2} {50}

\]

Answer 4

Replace x by e above and you are done.

Answer 5

\[
\frac {e^2}{50}=\frac {2e^2}{100}= .02 e^2
\]

Answer 6

Answer b

Answer 7

Thank you so much! I really appreciate it! :-)