Differentiation - Differentiation of Trigonometric, Logarithmic and Exponential Functions - General

Differentiation - Differentiation of Trigonometric, Logarithmic and Exponential Functions - General

Find \(\frac{\mathrm{d}y}{\mathrm{d}x}\) for \(y=\left(x+\frac{1}{\sqrt{x}}\right)^4\).

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Answer:\(4\left(x+\frac{1}{\sqrt{x}}\right)^3\left(1-\frac{1}{2\sqrt{x^3}}\right)\)

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