更新1:
f(x) = -x^3, f(a+h) - f(a)/h? sorry its supposed to be this
Evaluate the difference quotient for the given function. Simplify your answer. f(x) = −x3, f(a + h) − f(a)/h?
回答 (3)
2015-09-10 8:47 pm
f(x) = -x^3
[f(a + h) - f(a) / h
= -[(a + h)^3 - (-a^3) / h
= -[(a^3 + 3a^2h + 3ah^2 + h^3) + a^3]/h
= -3a^2 - 3ah - h^2
[f(a + h) - f(a) / h
= -[(a + h)^3 - (-a^3) / h
= -[(a^3 + 3a^2h + 3ah^2 + h^3) + a^3]/h
= -3a^2 - 3ah - h^2
2015-09-10 6:17 pm
f(x) = -x^3 <----this is your variable function
f(a+h) - f(a)/h <---this is your function with substituted numbers which are represented by letters
f(a+h) = -(a+h)^3
f(a) = -(a)^3
so f(a+h) - f(a)/h = [-(a+h)^3] - [-(a)^3]/h
f(a+h) - f(a)/h = a^3/h - (a+h)^3
f(a+h) - f(a)/h <---this is your function with substituted numbers which are represented by letters
f(a+h) = -(a+h)^3
f(a) = -(a)^3
so f(a+h) - f(a)/h = [-(a+h)^3] - [-(a)^3]/h
f(a+h) - f(a)/h = a^3/h - (a+h)^3
收錄日期: 2021-04-18 00:12:47
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20150910100545AAIV2YT