Find the derivative of the function: y= `x*sin(1/x)`

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The function y= `x*sin(1/x)`

Use the product rule and the chain rule to determine the derivative.

y' = `1*sin(1/x) + x*cos(1/x)*(-1/x^2)`

=> `sin(1/x) - cos(1/x)/x`

The derivative of y= `x*sin(1/x)` is y' = `sin(1/x) - cos(1/x)/x`

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