What is the derivative of cos(1/x) ?

The derivative of cos(1/x) is (sin(1/x))/(x^2)

What is the first derivative of cos(1/x) ?

The first derivative of cos(1/x) is (sin(1/x))/(x^2)

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derivative of

cos (\frac{1}{x})

\frac{sin ( \frac{1}{x} )}{x ^{2}}

Solution steps

\frac{d}{d x} (cos (\frac{1}{x}))

Apply the chain rule:

- sin (\frac{1}{x}) \frac{d}{d x} (\frac{1}{x})

= - sin (\frac{1}{x}) \frac{d}{d x} (\frac{1}{x})

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

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

Simplify

- sin (\frac{1}{x}) (- \frac{1}{x ^{2}}) : \frac{sin ( \frac{1}{x} )}{x ^{2}}

= \frac{sin ( \frac{1}{x} )}{x ^{2}}

t \to 2 + lim (\frac{t + 2}{t ^{2} - 4})

6 sin (x)

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

\int \frac{1}{y ln ^{2} ( y )} d y

\int \frac{( x ^{2} + 9 )}{x ^{2} + 2 x + 3} d x

What is the derivative of cos(1/x) ?
The derivative of cos(1/x) is (sin(1/x))/(x^2)
What is the first derivative of cos(1/x) ?
The first derivative of cos(1/x) is (sin(1/x))/(x^2)