Homework Help: Calculus

Posted by Suzy on Monday, October 15, 2007 at 12:36am.

22. Divide the expression before differentiating.

F(x) = (8x^3 - 1)/ (2x - 1)

Would the way to solve this problem be...
F(x) = [(8x^3) / (2x - 1)] - [(1)/(2x - 1)]
= [(4x^2)/(1)] - [(1) / (2x - 1)]
= (4x^2) - (2x-1)^-1

F'(x) = (8x + 1)

Calculus - bobpursley, Monday, October 15, 2007 at 6:18am
No.

The numerator is a difference of two squares, factor it, then, the denominator divides out evenly. Your answer is wrong.

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