Theorem: Quotient Rule If f(x) = T(x) B(x) is the quotient of differentiable functions, then f'(x) = B(x)T'(x)+T(x)B'(x) [B(x)]² B'(x)T(x) – T'(x)B(x) f'(x)= = [B(x)]2 B(x)T'(x)T(x)B'(x) f'(x) = = [B'(x)]2 T'(x) f'(x) = B'(x) О f'(x) = B(x)T'(x)T(x)B'(x) [B(x)]2 B'(x)T'(x) T'(x)B'(x) f'(x): = [B'(x)]2

Theorem: Quotient Rule If f(x) = T(x) B(x) is the quotient of differentiable functions, then f'(x) = B(x)T'(x)+T(x)B'(x) [B(x)]² B'(x)T(x) – T'(x)B(x) f'(x)= = [B(x)]2 B(x)T'(x)T(x)B'(x) f'(x) = = [B'(x)]2 T'(x) f'(x) = B'(x) О f'(x) = B(x)T'(x)T(x)B'(x) [B(x)]2 B'(x)T'(x) T'(x)B'(x) f'(x): = [B'(x)]2

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.

Chapter9: Multivariable Calculus

Section9.CR: Chapter 9 Review

Problem 54CR

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