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

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

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

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

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Popular >

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int sin (x) e^{c o s (x)} d x

(4 x^{2} + 9)^{6}

\int_{0}^{1} 5 x^{2} d x

31

y = 3 x^{3} - x^{2} + 3, (2, 23)

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