radnorgardens
New member
- Joined
- Dec 2, 2014
- Messages
- 26
Hi all,
I'm learning the rules of differentiation, specifically the product rule. I understand the steps to obtain an answer, but am stuck when it comes to simplifying and taking out a common factor. For example, the answer to one of the problems is:
dy/dx = x2[6(2x + 1)2] + (2x + 1)3(2x)
I understand how to obtain this answer, but not the simplification. Continuing.....take out a common factor 2x(2x + 1)2.
Apparently, this goes into the first term 3x times. And the second term 2x + 1 times. Resulting in:
dy/dx = 2x(2x + 1)2 [3x + (2x + 1)]
dy/dx = 2x(2x + 1)2 (5x + 1)]
As always, thanks for any help. I'd appreciate if someone could show me, step by step.
B.
I'm learning the rules of differentiation, specifically the product rule. I understand the steps to obtain an answer, but am stuck when it comes to simplifying and taking out a common factor. For example, the answer to one of the problems is:
dy/dx = x2[6(2x + 1)2] + (2x + 1)3(2x)
I understand how to obtain this answer, but not the simplification. Continuing.....take out a common factor 2x(2x + 1)2.
Apparently, this goes into the first term 3x times. And the second term 2x + 1 times. Resulting in:
dy/dx = 2x(2x + 1)2 [3x + (2x + 1)]
dy/dx = 2x(2x + 1)2 (5x + 1)]
As always, thanks for any help. I'd appreciate if someone could show me, step by step.
B.