The Elements of the Differential And Integral Calculus Based On Kurzgefasstes L
The Elements of the Differential And Integral Calculus Based On Kurzgefasstes L
J W a Jacob William Albert Young
The book The Elements of the Differential And Integral Calculus Based On Kurzgefasstes L was written by author J W a Jacob William Albert Young Here you can read free online of The Elements of the Differential And Integral Calculus Based On Kurzgefasstes L book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is The Elements of the Differential And Integral Calculus Based On Kurzgefasstes L a good or bad book?
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) «^(l)-f(z + 2) = (z)-(fy)-(l)+iz. (ii. ) (z + k)=(z) + (2z-d)k + k^. (iii. )(x) = log ^^-^, show that V(. :). , (, )=, |i5£^[. ■ 6. If F(y) = ?/2n +y2r^i^ show that F(a) = F(-a). 7. If (u)=-(-u). 8. If /(a:) = sin X, show that /w=-/(-^)- 8-9. ] THE FUNDAMENTAL CONCEPTIONS 115 9. If i(/(x) = cos (3 x), show that i{/(x)=il/(-x). 10. Assuming a curve as the graph of y =f{x), what would be the graph of y = —f{x) ? Art. 9. General rule for the formation of derivatives. Let (1) y=f(p...^^ be any function of x, and let the accompanying geometric curve (Figo 37) be its graph. We take up the problem to find the tangent to the curve at any of its points. We use again the method em- ployed, pp. 99-101. If we imagine a polygon having its vertices P, P^, P^^ "- lying on the curve, we can easily determine the angle a which the side PPj of the polygon makes with the axis of abscissae.
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