9) Chain Rule Expertise: So you think you "get" derivatives and the chain rule? Show me. Find the derivative of 3 f(x) = ₁ √1 + x³ sin²(x²) tan(e3r²) In(1 + 2x) HINT: There is an easier way to do it, then there is the "brute- force" way to do it. Think carefully before diving in. (Use logarithmic differentiation).
9) Chain Rule Expertise: So you think you "get" derivatives and the chain rule? Show me. Find the derivative of 3 f(x) = ₁ √1 + x³ sin²(x²) tan(e3r²) In(1 + 2x) HINT: There is an easier way to do it, then there is the "brute- force" way to do it. Think carefully before diving in. (Use logarithmic differentiation).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Question 9: Fund the derivative of the following using the chain rule
![HINT: It does cross the x-axis, your job is to prove that it does! What
does the Intermediate Value Theorem say specifically?
CONCEPT CHECK: Without using a calculator, can you find ap-
proximately where it crosses the x-axis? Narrow down the domain over
which f crosses the x-axis: [a,b].
9) Chain Rule Expertise: So you think you "get" derivatives and the chain
rule? Show me. Find the derivative of
f(x) =
√1+x³ sin²(x²)
tan(e3x²) ln(1 + 2x)
HINT: There is an easier way to do it, then there is the "brute-
force" way to do it. Think carefully before diving in. (Use logarithmic
differentiation).
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9372b6fe-9d83-4cc3-b9b6-3000d02c5781%2Fda41193a-208a-455d-abd6-5f0aeb2c7fac%2Fb2wcl5r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:HINT: It does cross the x-axis, your job is to prove that it does! What
does the Intermediate Value Theorem say specifically?
CONCEPT CHECK: Without using a calculator, can you find ap-
proximately where it crosses the x-axis? Narrow down the domain over
which f crosses the x-axis: [a,b].
9) Chain Rule Expertise: So you think you "get" derivatives and the chain
rule? Show me. Find the derivative of
f(x) =
√1+x³ sin²(x²)
tan(e3x²) ln(1 + 2x)
HINT: There is an easier way to do it, then there is the "brute-
force" way to do it. Think carefully before diving in. (Use logarithmic
differentiation).
2
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Did you use the product rule as well? I would like some clarification on the steps.
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