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Interpretación geométrica de la derivada
 

Interpretación geométrica de la derivada

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    Interpretación geométrica de la derivada Interpretación geométrica de la derivada Presentation Transcript

    • INTERPRETACIÓNGEOMÉTRICA DE LA DERIVADA
    • INTERPRETACIÓN GEOMÉTRICA DEf = df = lim f (x + h ) − f ( x ) LA DERIVADA dx h →0 h f (x + h 1 ) − f ( x ) Y B tg α = 1 h1 1 f(x+h1) B2 f(x+h2) Si h → 0 vamos a hacerlo más B3 pequeño f(x+h3) f(x+h1)-f(x) f(x+h2)-f(x) f(x+h3)-f(x) tg α 2 = ( ) f x + h 2 −f (x ) α3 α2 α1 h2 A f(x) Si h → 0 vamos a hacerlo aún más pequeño f (x + h 3 ) − f ( x ) tg α 3 = h3 h3 h2 h1 X x x + h3 x + h2 x + hh df Si h → 0, el punto B se acerca infinitamente f = = tg α = m a A. La recta es TANGENTE dx