A few days ago
Help with function, please?
Let f(x)=6-5x+11x²
Calculate the following value:
f(a+h)-f(a)
————– <-----fraction h
Top 1 Answers
A few days ago
Favorite Answer
f(x) = 6-5x+11x^2
f(a+h) = 6-5(a+h)+11(a+h)^2
= 6-5a+5h+11(a^2+2ah+h^2)
= 6-5a+5h+11a^2+22ah+11h^2
f(a) = 6-5a+11a^2
f(a+h)-f(a) = 6-5a+5h+11a^2+22ah+11h^2 – (6-5a+11a^2)
= 6-5a+5h+11a^2+22ah+11h^2-6+5a-11a^2
= 5h+22ah+11h^2 (the 6, 5a, and 11a^2 cancel out)
A better way to write it: 11h^2+5h + 22ah
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