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

The derivative of sin(1/(x^2)) is -(2cos(1/(x^2)))/(x^3)

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

The first derivative of sin(1/(x^2)) is -(2cos(1/(x^2)))/(x^3)

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derivative of

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

- \frac{2 cos ( \frac{1}{x ^{2}} )}{x ^{3}}

Solution steps

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

Apply the chain rule:

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

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

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

= cos (\frac{1}{x ^{2}}) (- \frac{2}{x ^{3}})

Simplify

cos (\frac{1}{x ^{2}}) (- \frac{2}{x ^{3}}) : - \frac{2 cos ( \frac{1}{x ^{2}} )}{x ^{3}}

= - \frac{2 cos ( \frac{1}{x ^{2}} )}{x ^{3}}

f^{^{''}} (x) = 9 x^{3} + 4 x^{2} + 7 x

x \to 0 lim (∣ x - 2 ∣ + 3)

\frac{\partial}{\partial y} (sin (y) cos (y))

y = 12 - x^{2}, y = - 3 x - 16

(e^{2 x} \cdot 2)^{^{'}}

What is the derivative of sin(1/(x^2)) ?
The derivative of sin(1/(x^2)) is -(2cos(1/(x^2)))/(x^3)
What is the first derivative of sin(1/(x^2)) ?
The first derivative of sin(1/(x^2)) is -(2cos(1/(x^2)))/(x^3)