Find the derivative of this function but Do Not Simpl
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the derivative of this function but Do Not Simplify
![The given function is:
\[ g(x) = e^{-3x^2} \]
We are asked to find the derivative \( g'(x) \):
\[ g'(x) = \_\_\_\_\_\_ \]
This expression involves a function with an exponential term. To find the derivative \( g'(x) \), we will apply the chain rule. The chain rule is a fundamental technique in calculus used to differentiate compositions of functions. In this case, the outer function is the exponential function, and the inner function is the quadratic expression \(-3x^2\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28b0c599-bbea-4dfa-aec4-e0091988eaa4%2F7a48f757-55ec-47a0-ac49-92cc584b2343%2Fzcnpope_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The given function is:
\[ g(x) = e^{-3x^2} \]
We are asked to find the derivative \( g'(x) \):
\[ g'(x) = \_\_\_\_\_\_ \]
This expression involves a function with an exponential term. To find the derivative \( g'(x) \), we will apply the chain rule. The chain rule is a fundamental technique in calculus used to differentiate compositions of functions. In this case, the outer function is the exponential function, and the inner function is the quadratic expression \(-3x^2\).
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