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Popular >

derivative of sin(4/x)

Solution

derivative of

sin (\frac{4}{x})

Solution

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

Solution steps

\frac{d}{d x} (sin (\frac{4}{x}))

Apply the chain rule:

cos (\frac{4}{x}) \frac{d}{d x} (\frac{4}{x})

= cos (\frac{4}{x}) \frac{d}{d x} (\frac{4}{x})

\frac{d}{d x} (\frac{4}{x}) = - \frac{4}{x ^{2}}

= cos (\frac{4}{x}) (- \frac{4}{x ^{2}})

Simplify

cos (\frac{4}{x}) (- \frac{4}{x ^{2}}) : - \frac{4 cos ( \frac{4}{x} )}{x ^{2}}

= - \frac{4 cos ( \frac{4}{x} )}{x ^{2}}

Popular Examples

integral of x^2e^{-4x}

\int x^{2} e^{- 4 x} d x

area x=y^2+3,x=y,y=-1,y=1 area

x = y^{2} + 3, x = y, y = - 1, y = 1

sum from n=9 to infinity of 1/(n(n-1))

n = 9 \sum \infty \frac{1}{n ( n - 1 )}

derivative of x^2-2x derivative of

x^{2} - 2 x

integral of tan(x/4)

\int tan (\frac{x}{4}) d x

Frequently Asked Questions (FAQ)

What is the derivative of sin(4/x) ?
The derivative of sin(4/x) is -(4cos(4/x))/(x^2)
What is the first derivative of sin(4/x) ?
The first derivative of sin(4/x) is -(4cos(4/x))/(x^2)