Video Example Differentiate y = x7Vx EXAMPLE 8 SOLUTION Since both the base and the exponent are variable, we use logarithmic differentiation: In(xV 7x In(x) In y = = () d 7Vx dx d d (In(x) + (In(x)) X Y 7 In(x) 7 У'3D и 2 x 7 In (x) 7 ) 2Vx х Another method is to write x7Vx = (eln(x)^: = (*) d XYour answer cannot be understood or graded. dx dx 7x In(x) (7 In(x)) d dx 7 In(x) 2x 7 Vx

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