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Popular >

derivative of sin(3/x)

Solution

\frac{d}{d x} (sin (\frac{3}{x}))

Solution

- \frac{3 cos ( \frac{3}{x} )}{x ^{2}}

Solution steps

\frac{d}{d x} (sin (\frac{3}{x}))

Apply the chain rule:

cos (\frac{3}{x}) \frac{d}{d x} (\frac{3}{x})

= cos (\frac{3}{x}) \frac{d}{d x} (\frac{3}{x})

\frac{d}{d x} (\frac{3}{x}) = - \frac{3}{x ^{2}}

= cos (\frac{3}{x}) (- \frac{3}{x ^{2}})

Simplify

cos (\frac{3}{x}) (- \frac{3}{x ^{2}}) : - \frac{3 cos ( \frac{3}{x} )}{x ^{2}}

= - \frac{3 cos ( \frac{3}{x} )}{x ^{2}}

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x \to 2 lim (\frac{x}{x + 2})

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\frac{d}{d x} ((x^{2} + 1)^{3})

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x \to - \infty lim (\frac{4 e ^{\frac{1}{x}} - 1}{1 + e ^{x}})

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Frequently Asked Questions (FAQ)

What is the derivative of sin(3/x) ?
The derivative of sin(3/x) is -(3cos(3/x))/(x^2)
What is the first derivative of sin(3/x) ?
The first derivative of sin(3/x) is -(3cos(3/x))/(x^2)