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E13. Prove by induction that if u and v are functions of x, then n d" (uv) Σ(1) ¿C) d" u dn-u dx drnor dxn r=0 This form
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E13. Prove by induction that if u and v are functions of x, then n d" (uv) Σ(1) ¿C) d" u dn-u dx drnor dxn r=0 This form
E13. Prove by induction that if u and v are functions of x, then n d" (uv) Σ(1) ¿C) d" u dn-u dx drnor dxn r=0 This formula is called Leibniz' formula for the nth derivative of a product. It is easy to remember, because it is similar to the binomial theorem. Use it to find the 4th derivative of e-*sin and the 6th derivative of e.
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