Question

For the function $f(x) = 3e^{x^2}$, find $f''(x)$. Then find $f''(0)$ and $f''(2)$. $f'(x) = 6(2x^2 - 1)e^{-x^2}$ Select the correct choice below and fill in any answer boxes in your choice. A. $f''(0) = 0$ (Simplify your answer.) B. $f'(0)$ is undefined.

          For the function $f(x) = 3e^{x^2}$, find $f''(x)$. Then find $f''(0)$ and $f''(2)$.
$f'(x) = 6(2x^2 - 1)e^{-x^2}$
Select the correct choice below and fill in any answer boxes in your choice.
A. $f''(0) = 0$ (Simplify your answer.)
B. $f'(0)$ is undefined.

For the function f(x) = 3e^x^2, find f”(x). Then find f”(0) and f”(2).
f'(x) = 6(2x^2 - 1)e^-x^2
Select the correct choice below and fill in any answer boxes in your choice.
A. f”(0) = 0 (Simplify your answer.)
B. f'(0) is undefined.

Added by Greg B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Gregory Higby

05/08/2022

Step 1

Given f(x)=3e^(-x^(2)), we first find the first derivative: f'(x) = d/dx [3e^(-x^(2))] f'(x) = -6xe^(-x^(2)) Now, we find the second derivative: f''(x) = d/dx [-6xe^(-x^(2))] f''(x) = -6e^(-x^(2)) - 6x(-2x)e^(-x^(2)) f''(x) = -6e^(-x^(2)) + Show more…

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For the function f(x)=3e^(-x^(2)), find f^('')(x). Then find f^('')(0) and f^('')(2) f^('')(x)=6(2x^(2)-1)e^(-x^(2)) Select the correct choice below and fill in any answer boxes in your choice. A. f^('')(0)=0 (Simplify your answer.) B. f^('')(0) is undefined. O B. f"(0) is undefined. O A. f"(0= (Simplify your answer. f(x=62x2-1e-*2 ...