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Popular >

derivative of y= x/(10)-(10)/x

Solution

derivative of

y = \frac{x}{10} - \frac{10}{x}

Solution

\frac{1}{10} + \frac{10}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{x}{10} - \frac{10}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x}{10}) - \frac{d}{d x} (\frac{10}{x})

\frac{d}{d x} (\frac{x}{10}) = \frac{1}{10}

\frac{d}{d x} (\frac{10}{x}) = - \frac{10}{x ^{2}}

= \frac{1}{10} - (- \frac{10}{x ^{2}})

Simplify

= \frac{1}{10} + \frac{10}{x ^{2}}

Popular Examples

integral of ((cos^2(at)))/a

\int \frac{( cos ^{2} ( a t ) )}{a} d x

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\frac{d y}{d x}, (7 x y + 5)^{2} = 42 y

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\frac{d}{d x} ((7 x^{6} + 4 x^{3})^{4})

derivative of x/((5x-4^3))

\frac{d}{d x} (\frac{x}{( 5 x - 4 ) ^{3}})

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\int arccot (2 x) d x

Frequently Asked Questions (FAQ)

What is the derivative of y= x/(10)-(10)/x ?
The derivative of y= x/(10)-(10)/x is 1/10+(10)/(x^2)
What is the first derivative of y= x/(10)-(10)/x ?
The first derivative of y= x/(10)-(10)/x is 1/10+(10)/(x^2)