What is the derivative of (x+1/x)^5 ?

The derivative of (x+1/x)^5 is 5(x+1/x)^4(1-1/(x^2))

What is the first derivative of (x+1/x)^5 ?

The first derivative of (x+1/x)^5 is 5(x+1/x)^4(1-1/(x^2))

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derivative of

(x + \frac{1}{x})^{5}

5 (x + \frac{1}{x})^{4} (1 - \frac{1}{x ^{2}})

Solution steps

\frac{d}{d x} ((x + \frac{1}{x})^{5})

Apply the chain rule:

5 (x + \frac{1}{x})^{4} \frac{d}{d x} (x + \frac{1}{x})

= 5 (x + \frac{1}{x})^{4} \frac{d}{d x} (x + \frac{1}{x})

\frac{d}{d x} (x + \frac{1}{x}) = 1 - \frac{1}{x ^{2}}

= 5 (x + \frac{1}{x})^{4} (1 - \frac{1}{x ^{2}})

\frac{d y}{d x} = 2 x^{- 3}

x \to 2 lim (14 + x)

\frac{\partial}{\partial x} (e^{y} sin (x) y)

2 x e^{- 4 x}

4 y^{^{''}} - 4 y^{^{'}} + y = 16 e^{(\frac{t}{2})}

What is the derivative of (x+1/x)^5 ?
The derivative of (x+1/x)^5 is 5(x+1/x)^4(1-1/(x^2))
What is the first derivative of (x+1/x)^5 ?
The first derivative of (x+1/x)^5 is 5(x+1/x)^4(1-1/(x^2))