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Differentiate

√(x) + (1)/(5x) - 3
with respect to their variable ​

User Tiki
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1 Answer

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\\ \tt\longmapsto (d)/(dx)√(x)+(1)/(5x)-3


\\ \tt\longmapsto (d)/(dx)x^{(1)/(2)}+5x^(-1)-3

  • Derivative of any constant is 0


\\ \tt\longmapsto (d)/(dx)x^{(1)/(2)}+5x^(-1)


\boxed{\sf (d(x^n))/(dx)=nx^(n-1)}


\\ \tt\longmapsto (1)/(2)x^{(-1)/(2)}-5x^(-2)


\\ \tt\longmapsto (x)/(2)^{(-1)/(2)}-(1)/(5x^2)


\\ \tt\longmapsto -\sqrt{(x)/(2)}-(1)/(5x^2)

User Zekel
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