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Popular >

derivative of y= 1/x+cos(2x)

Solution

derivative of

y = \frac{1}{x} + cos (2 x)

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

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

Popular Examples

integral of 1/(sqrt(x)-\sqrt[4]{x)}

limit as x approaches 4+of sqrt(16-x^2)

x \to 4 + lim (16 - x^{2})

integral from 0 to 1 of 6e^{2x}

\int_{0}^{1} 6 e^{2 x} d x

integral of 1/(x(1+4x^2))

\int \frac{1}{x ( 1 + 4 x ^{2} )} d x

limit as x approaches+0-of arctan(1/x)

x \to + 0 - lim (arctan (\frac{1}{x}))

Frequently Asked Questions (FAQ)

What is the derivative of y= 1/x+cos(2x) ?
The derivative of y= 1/x+cos(2x) is -1/(x^2)-sin(2x)*2
What is the first derivative of y= 1/x+cos(2x) ?
The first derivative of y= 1/x+cos(2x) is -1/(x^2)-sin(2x)*2