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(3) For the function y = x² + 11x – 12. (a) Find the derivative of this function and use this to find the stationary point. (b) Complete the table below, then draw the sign diagram and use it to classify the stationary point of y = x² + 11x - 12. Is it a local maximum or a local minimum? (c) Give all working for finding the x and y-intercepts. (d) Hand sketch the graph. TABLE 2. Table for sign diagram Sign of gradient (positive, negative or 0) x < -5 1/2 X=- -5/2 0 x>- 5/1/1

(3) For the function y = x² + 11x – 12. (a) Find the derivative of this function and use this to find the stationary point. (b) Complete the table below, then draw the sign diagram and use it to classify the stationary point of y = x² + 11x - 12. Is it a local maximum or a local minimum? (c) Give all working for finding the x and y-intercepts. (d) Hand sketch the graph. TABLE 2. Table for sign diagram Sign of gradient (positive, negative or 0) x < -5 1/2 X=- -5/2 0 x>- 5/1/1

Calculus: Early Transcendentals
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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please answer b using the table

(3) For the function y = x² + 11x – 12. (a) Find the derivative of this function and use this to find the stationary point. (b) Complete the table below, then draw the sign diagram and use it to classify the stationary point of y = x² + 11x - 12. Is it a local maximum or a local minimum? (c) Give all working for finding the x and y-intercepts. (d) Hand sketch the graph. TABLE 2. Table for sign diagram Sign of gradient (positive, negative or 0) x < -5 1/2 X=- -5/2 0 x>- 5/1/1
Transcribed Image Text:(3) For the function y = x² + 11x – 12. (a) Find the derivative of this function and use this to find the stationary point. (b) Complete the table below, then draw the sign diagram and use it to classify the stationary point of y = x² + 11x - 12. Is it a local maximum or a local minimum? (c) Give all working for finding the x and y-intercepts. (d) Hand sketch the graph. TABLE 2. Table for sign diagram Sign of gradient (positive, negative or 0) x < -5 1/2 X=- -5/2 0 x>- 5/1/1
Expert Solution
Step 1

Given: The function y=x2+11x-12

Determine the given function is local maximum or local minimum using the table

  x<-512 x=-512 x>-512
sign of gradient (positive, negative or 0)   0  

Stationary point: The stationary point is where the derivative of y equal to zero.

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