Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:# Indicated Derivatives of Functions
Find the indicated derivative of each function.
1. **Find \( y'' \) if \( y = 4x^6 + 3x^5 - 8x^3 + 6x^2 + 15 \)**
2. **If \( y = x^5 - 2x^4 + 3x^2 \), find \( y''' \)**
3. **Find \( y^{(4)} \) if \( y = 3x^3 + 2x^2 - x + 9 \)**
4. **The function \( y = e^{2x} \sin(x) \) needs the second derivative \( y'' \)**
5. **If \( f(x) = \sqrt{x - 16} \), what is \( f''(x) \)?**
6. **A function \( y = \ln(x^2 + 1) \) needs its second derivative**
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