What is the derivative of this function #x^2 sin(1/x) - 2 #?

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What is the derivative of this function #x^2 sin(1/x) - 2 #?

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Answer 1 · 2016-07-02T18:22:51

#f'(x)=2x*sin(1/x)-cos(1/x)#

Explanation:

Let #f(x)=x^2sin(1/x)-2#.
#:. f'(x)=x^2*d/dxsin(1/x)+sin(1/x)*d/dxx^2#.
#=x^2*cos(1/x)*d/dx(1/x)+2x*sin(1/x)#
#=x^2*cos(1/x)*(-1/x^2)+2x*sin(1/x)#
#=2x*sin(1/x)-cos(1/x)#

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What is the derivative of this function #x^2 sin(1/x) - 2 #?

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