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hi i really need alot of help. Im a college student from so cali. i have a test on wednesday. im in business calc and i have problem and i wonder if you can help me. i have the problem f(X)= X squared+x using the formula F(X)-F(x+h)/h. i know that the answer is 2x+1 but i dont know why. please help if u can. thanks et
Hello "et"
OK, we need to take the limit as h-->0 of [f(x+h)-f(x)]/h
first let's do [f(x+h)-f(x)]/h, to get:
[(x+h)^2+(x+h)-(x^2+x)]/h
=[x^2+2hx+h^2+x+h-x^2-x]/h = [2hx+h^2+h]/h
=2x+h+1, now let h-->0 to get
=2x+1
OK? Good luck with your test!
Abe
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Answers by Expert:
Abe Mantell
Expertise
Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!
Experience
Over 15 years teaching at the college level.
Organizations
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.
Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook
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