1) Given f(x) = ax³ + bx² + cx+d, the slope of f(x) at (2,11) is 13, ƒ"(1)=6, and f(0) = 12, find a, b, c, and d. f'(x)=3ax² +2bx+C 2 f"(x)=6ax+2b f"(x) = 60+2 12

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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1) Given f(x) = ax³ + bx² + cx+d, the slope of f(x) at (2,11) is 13, ƒ"(1) = 6, and
Ī(0)= 12, find a, b, c, and d.
f'(x) = 3ax² +2bx+c
f"(x)=6ax+2b
+ ²/(x) = 6a+2
12
Transcribed Image Text:1) Given f(x) = ax³ + bx² + cx+d, the slope of f(x) at (2,11) is 13, ƒ"(1) = 6, and ƒ™(0)= 12, find a, b, c, and d. f'(x) = 3ax² +2bx+c f"(x)=6ax+2b + ²/(x) = 6a+2 12
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