zhkhelpneeded
New member
- Joined
- Jan 15, 2021
- Messages
- 7
This was originally a calculus problem, but the part that I'm stuck on is the algebra part.
Essentially, the problem is take the derivative of y = 3t(2t^2-5)^5
From this, I got 3(2t^2-5)^5 + 3t(20t [ 2t^2-5]^4 using the product rule (f'g + fg')
When I tried to simplify this, I got 3(2t^2 - 5)^4 * (22t^2-5) but the answer is :
I am stumped at how it arrived to that answer with (2t^2 - 5)^4 being the same. How come the 3 was also distributed to one part and not the other?
Which part am I missing? What topics can I review to better understand this concept?
I would like to know how to approach this fully by hand.
Essentially, the problem is take the derivative of y = 3t(2t^2-5)^5
From this, I got 3(2t^2-5)^5 + 3t(20t [ 2t^2-5]^4 using the product rule (f'g + fg')
When I tried to simplify this, I got 3(2t^2 - 5)^4 * (22t^2-5) but the answer is :
I am stumped at how it arrived to that answer with (2t^2 - 5)^4 being the same. How come the 3 was also distributed to one part and not the other?
Which part am I missing? What topics can I review to better understand this concept?
I would like to know how to approach this fully by hand.
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