- so we need to find when this is at a minimum, i.e. the slope is equal to zero. The derivative is just a lot of product rule differentiation. dl/dx = 1/2*[2x + 8(4x +7)]/[x^2 + (4x + 7)^2]^(1/2) = 0 Solve for x... then plug determine y from y = 4x + 7 and ...
10-Q: FACTORSHARES 2X: S&P500 BULL/USD BEAR

FACTORSHARES 2X: You should not place undue reliance ... S&P 500 Non-US Dollar 2.58% (10.34)% 8.97% 1.78% Index Long Sub-Index: S&P 500® Futures Excess 2.69% (2.84)% 13.38% 7.63% Return Index Short Sub-Index: S&P U.S. Dollar Index (0.07)% 7.83% 3.75% ...- Sheppard had just solved this one to move into the championship round: lim (x→∞) sin 2x/x. The answer? Zero ... sat down for the final calculus confrontation: ∫ sin(3x)dx. Did you get it? The answer, of course, is -1/3 cos(3x) + c.
- But no explicit connection, such as “dx is the limit of \(\Delta x\) as n increases without bound” or something like that. Then we get to the section on u-substitution, which opens with considering the calculation of \(\int 2x \sqrt{x^2+1}
- Use the chain rule to obtain the formula for d (arcsin x). dx d (log x). 45. Using the chain rule ... The best quadratic approximation has the same ﬁrst and second derivatives as y = ln x at x = 1. (b) Use a computer or calculator to graph the ...

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- Find the integral from 10 to 13 of 2xdx? - Find the ...Int 2x dx =x^2 Inserting the limits ... (10 and 13) in this primitive ... where C is some arbitrary constant, because the derivative of a constant is zero ...
- What is derivative of e^-2x? - qfak.com - Here you can ask ...What is derivative of e^-2x? ... and remember d/dx e^x = e^x. d/dx e^-2x = e^-2x d/dx (-2x) = e^-2x * (-2) = -2e^-2x. ... Jul 13 at 7:17. Ask.
- What is the derivative of (2x-3)^5? - YahooThe derivative: 5(2x - 5)^4*(2) = 10(2x - 5)^4 . 0. 0. Comment; ... d/dx (2x-3)^5 = 10(2x-3)^4 . 0. 0. Comment; Como answered 6 years ago. f (x) = (2x - 5)^5
- What is the derivative of ln^2x?What is the derivative of ln^2x? Home; Mail; News; Sports; Weather; Answers; Flickr ... dy/dx = [1/(2x) ] (d/dx) (2x) = (1/2x) (2) = 1/x having used the ...
- What is the derivative of 2x - Answers.comWhat is the anti-derivative of 2x-1? x2 - x + C. What is to derive the answer? ... What is the derivative of 2x with respect to x? d/dx(2x) = 2 simple power rule.