How can I differentiate the given function and simplify my answer? f(x)= (15x+7)^5?
回答 (3)
2015-09-21 4:01 pm
✔ 最佳答案
F'(x) =75(15x+7)4
2015-09-21 4:00 pm
Chain rule: f '(x) = 5 (15x+7)^4 d/dx (15x+7) = ....
2015-09-21 5:24 pm
f(x) = (15x + 7)^5. f'(x) = [5(15x + 7)^4][15x]. This comes from the chain rule. This is best illustrated as follows.
Put 15x + 7 = u. Then f(x) = u^5. Now {d/dx}[f(x)] = {d/dx}[u^5] = {d/du}[u^5](du/dx) = (5u^4)(15).
Put 15x + 7 = u. Then f(x) = u^5. Now {d/dx}[f(x)] = {d/dx}[u^5] = {d/du}[u^5](du/dx) = (5u^4)(15).
收錄日期: 2021-04-21 14:17:31
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