Ask Singapore Homework?
Upload a photo of a Singapore homework and someone will email you the solution for free.
Question
secondary 4 | A Maths
2 Answers Below
Anyone can contribute an answer, even non-tutors.
Thank you
Date Posted: 4 years ago
Views: 214
See 2 Answers
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
The idea is easy, but the simplification is very tedious.
In short, (dy/dx)^2 is in general not equal to d2y/dx2. We call d2y/dx2 the second derivative of y with respect to x, since we differentiate y twice with respect to x to obtain d2y/dx2.
In short, (dy/dx)^2 is in general not equal to d2y/dx2. We call d2y/dx2 the second derivative of y with respect to x, since we differentiate y twice with respect to x to obtain d2y/dx2.
Date Posted:
4 years ago
Differentiating dy/dx gives us d2y/dx2. We write this as d/dx (dy/dx), NOT dy/dx (dy/dx) because dy/dx (dy/dx) means the value of dy/dx is multiplied by itself, whereas d/dx means "differentiating the term to be differentiated".
Part a should be 36/(x-3)^3
Oh, I have simplified it in part 2.
I will rewrite again if you would like me to rewrite them.
I will do an alternative approach which should give you an easier derivative. My part i answer simplifies to 36 / (x - 3)^3 (I have included them in parts ii and iii).
Ok can
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
(i) and (ii), simplified
Date Posted:
4 years ago
I will not do part (iii) here. One look and we can tell that squaring dy/dx will not get you d2y/dx2.
In this case the numerator happens to be simplifiable. In most cases, however, we do not need to expand and simplify the terms (recall that I did not simplify until very detailed in the regular quotient rule questions last week).
I like to do long division here, as I am more or less confident that the expression becomes more easily differentiable.
Ok . Thank you
360 Tutoring Program