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3. Assume that f and g are entire. Use the definition of the derivative: f(z)-f(zo) 2-20 f'(20) = lim 2-20 to prove the product rule: (fg)'(z) = f'(z)g(z) + f(z)g'(z).

3. Assume that f and g are entire. Use the definition of the derivative: f(z)-f(zo) 2-20 f'(20) = lim 2-20 to prove the product rule: (fg)'(z) = f'(z)g(z) + f(z)g'(z).

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 37E
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3. Assume that f and g are entire. Use the definition of the derivative: f(z)-f(zo) 2-20 f'(20) = lim 2-20 to prove the product rule: (fg)'(z) = f'(z)g(z) + f(z)g'(z).
Transcribed Image Text:3. Assume that f and g are entire. Use the definition of the derivative: f(z)-f(zo) 2-20 f'(20) = lim 2-20 to prove the product rule: (fg)'(z) = f'(z)g(z) + f(z)g'(z).
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