Video Example Differentiate y = x7Vx EXAMPLE 8 Since both the base and the exponent are variable, we use logarithmic SOLUTION differentiation: In(2)7 7Vx In(x) In y = y' 7VX У (In(x)) 7 In(x) у' %3D У x'Vx 7VX eln(x) Another method is to write x7Vx = d d dx dx d 7x In(x) dx x7Vx = yIn(x2-4x +1), (4, 0)
Video Example Differentiate y = x7Vx EXAMPLE 8 Since both the base and the exponent are variable, we use logarithmic SOLUTION differentiation: In(2)7 7Vx In(x) In y = y' 7VX У (In(x)) 7 In(x) у' %3D У x'Vx 7VX eln(x) Another method is to write x7Vx = d d dx dx d 7x In(x) dx x7Vx = yIn(x2-4x +1), (4, 0)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.CR: Chapter Review
Problem 14E
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