Leibnizs Rule says that if is continuous on [a, b] and if u(x) and (x) are
Question:
Leibniz’s Rule says that if ƒ is continuous on [a, b] and if u(x) and ν(x) are differentiable functions of x whose values lie in [a, b], then
Prove the rule by setting
and calculating dg / dx with the Chain Rule.
Transcribed Image Text:
d dx •v(x) u(x) f(t) dt = f(v(x)) dv dx - du dx - f(u(x)).
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ANSWER To prove Leibnizs Rule using the function gu v defined as gu v ftdt over the interval ...View the full answer
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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