What is the derivative of (x+1/x ^{10}) ?

The derivative of (x+1/x ^{10}) is 10(x+1/x)^9(1-1/(x^2))

What is the first derivative of (x+1/x ^{10}) ?

The first derivative of (x+1/x ^{10}) is 10(x+1/x)^9(1-1/(x^2))

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\frac{d}{d x} ((x + \frac{1}{x})^{10})

10 (x + \frac{1}{x})^{9} (1 - \frac{1}{x ^{2}})

Solution steps

\frac{d}{d x} ((x + \frac{1}{x})^{10})

Apply the chain rule:

10 (x + \frac{1}{x})^{9} \frac{d}{d x} (x + \frac{1}{x})

= 10 (x + \frac{1}{x})^{9} \frac{d}{d x} (x + \frac{1}{x})

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

= 10 (x + \frac{1}{x})^{9} (1 - \frac{1}{x ^{2}})

\int 2 sin (x) e^{x} d x

\frac{d}{d x} (3 a e^{3 x})

f (x) = 1 + x

y^{2} = 2 x + 1, y = x - 1

\int cos (I n x) d x

What is the derivative of (x+1/x ^{10}) ?
The derivative of (x+1/x ^{10}) is 10(x+1/x)^9(1-1/(x^2))
What is the first derivative of (x+1/x ^{10}) ?
The first derivative of (x+1/x ^{10}) is 10(x+1/x)^9(1-1/(x^2))