Find the first three derivatives of the function h(x) = 3 + 4x³ −3+7

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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Answer number 5
(Inverse Trigo, Higher Order Derivative, Chain Rule)
Directions: Find the derivative of the following functions.
1. f(x) = (2x³ - x²)³ (3x5 + 4x²)²
2. g(x) = tan-¹ 4x³
3.y =
5x+√x
(x²+1)²
4. Using y = 5x + 3x² + 1, find all the derivatives and evaluate f"(2) and
f(3) (-2).
3x4
5. Find the first three derivatives of the function h(x) =
+4x³−²+ +7
5
Transcribed Image Text:(Inverse Trigo, Higher Order Derivative, Chain Rule) Directions: Find the derivative of the following functions. 1. f(x) = (2x³ - x²)³ (3x5 + 4x²)² 2. g(x) = tan-¹ 4x³ 3.y = 5x+√x (x²+1)² 4. Using y = 5x + 3x² + 1, find all the derivatives and evaluate f"(2) and f(3) (-2). 3x4 5. Find the first three derivatives of the function h(x) = +4x³−²+ +7 5
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