# Sakurai Modern Quantum Mechanics (Second Edition) Eq. 1.7.15

## Homework Statement

Reading Sakurai I cannot see how he gets to the end of 1.7.15 as below:

## Homework Equations

dx'|x'><x'-dx' |α>
= ∫dx'|x'>{<x' |α>-Δx'∂/∂x'<x' |α>}

## The Attempt at a Solution

I tried a Taylor expansion but cannot see how this is derived.