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Popular >

derivative of y=-sin(x)-1/x

Solution

derivative of

y = - sin (x) - \frac{1}{x}

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

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

Graph

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derivative of (25-x^2^{1/2})

\frac{d}{d x} ((25 - x^{2})^{\frac{1}{2}})

inverse oflaplace-(e^{-s})/(s^2)inverse laplace

- \frac{e ^{- s}}{s ^{2}}

integral of (x^3)/(sqrt(x^2+1))

\int \frac{x ^{3}}{x ^{2} + 1} d x

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

Frequently Asked Questions (FAQ)

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