Ask Singapore Homework?
Upload a photo of a Singapore homework and someone will email you the solution for free.
Question
secondary 3 | A Maths
One Answer Below
Anyone can contribute an answer, even non-tutors.
Pls help me continue from here
Date Posted: 1 year ago
Views: 166
Your expression in the numerator looks wrong…
Shouldn’t it be (x - 1) times “0” minus 1?
Differentiating 1 gets us 0.
Differentiating 1 gets us 0.
Also, your presentation is incorrect. On the second line of your working you should write dy/dx = … because you have already proceeded to perform the differentiation in the second step.
Anyway, you will get dy/dx = -1 divided by (x - 1)^2.
Note that the curve is not defined for x = 1 since y = 1/(x - 1) = 1/0 has no value.
For all other values of x, (x - 1)^2 will always be a positive value. This is an important property - the output of a squared function is always non-negative.
But the numerator in dy/dx contains a negative sign, so the entire expression -1 divided by (x - 1)^2 is going to be negative in value (negative/positive = negative).
As such, for x < 1, dy/dx is negative…
and for x > 1, dy/dx is also negative.
A negative value for dy/dx indicates that the curve is decreasing in a given interval.
Anyway, you will get dy/dx = -1 divided by (x - 1)^2.
Note that the curve is not defined for x = 1 since y = 1/(x - 1) = 1/0 has no value.
For all other values of x, (x - 1)^2 will always be a positive value. This is an important property - the output of a squared function is always non-negative.
But the numerator in dy/dx contains a negative sign, so the entire expression -1 divided by (x - 1)^2 is going to be negative in value (negative/positive = negative).
As such, for x < 1, dy/dx is negative…
and for x > 1, dy/dx is also negative.
A negative value for dy/dx indicates that the curve is decreasing in a given interval.
See 1 Answer
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
For this case... differentiate using either the product rule [use y = (x-1)^-1 ] or quotient rule.
Author of several O-level Science guide books (my profile pic). My forte is tutoring O-level sciences (Chemistry, Physics, Biology). Telegram Messenger: @ChillXsg Note that only my tuition students have the privilege to direct message questions, to clarify.
Author of several O-level Science guide books (my profile pic). My forte is tutoring O-level sciences (Chemistry, Physics, Biology). Telegram Messenger: @ChillXsg Note that only my tuition students have the privilege to direct message questions, to clarify.
Date Posted:
1 year ago
360 Tutoring Program