CHAPTER 5 REVIEW

# CHAPTER 5 REVIEW - courtney lewis Assignment Chapter 5...

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courtney lewis DL-AUCIhomework Assignment Chapter 5 Review due 01/16/2016 at 12:00am EST 1. (1 point) Complete the derivative formulas. Assume that k and b are real constants with b > 0. (a) d dx ( e x ) = (b) d dx ( e kx ) = (c) d dx ( b x ) = (d) d dx ( ln x ) = (e) d dx ( log b x ) = Answer(s) submitted: (incorrect) 2. (1 point) Practice differentiating exponential and logarithmic functions: Answer(s) submitted: (incorrect) 3. (1 point) (a) Use implicit differentiation to ﬁnd dy dx if 6 x 3 + x 2 y - xy 3 = 6 . dy dx = (b) Use implicit differentiation to ﬁnd dy dx if y = ln ( 6 x 2 + 6 y 2 ) . dy dx = Answer(s) submitted: (incorrect) 4. (1 point) Use logarithmic differentiation to ﬁnd the deriv- ative of the function y = x 1 / x . y 0 = Answer(s) submitted: (incorrect) 5. (1 point) Evaluate each limit. Use L’Hopital’s rule if nec- essary.

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