Differentiate y = x³Vx. EXAMPLE 8 SOLUTION Since both the base and the exponent are variable, we use logarithmic differentiation: In y = In( x³Vx) = 3V In(x) * = 3V. + (In(x)) · y 3 In(x) y' = y + Another method is to write x³Vx = eln( d dx %3D dx %3D

Differentiate y = x³Vx. EXAMPLE 8 SOLUTION Since both the base and the exponent are variable, we use logarithmic differentiation: In y = In( x³Vx) = 3V In(x) * = 3V. + (In(x)) · y 3 In(x) y' = y + Another method is to write x³Vx = eln( d dx %3D dx %3D

Name: Differentiate y = x3√x Differentiate y = x³Vx.EXAMPLE 8SOLUTIONSince b
Uploaded: 2024-03-20T06:46:55.000Z
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Description: Differentiate y = x3√x Differentiate y = x³Vx.EXAMPLE 8SOLUTIONSince both the base and the exponent are variable, we use logarithmic differentiation:In y = In x³V= 3Vx In(x)+ (In(x)) ·y3 In(x)rody' = y%3DAnother method is to write x³Vx =x3 vdxdx%3D