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Popular >

derivative of y= x/6-6/x

Solution

derivative of

y = \frac{x}{6} - \frac{6}{x}

Solution

\frac{1}{6} + \frac{6}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{x}{6} - \frac{6}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x}{6}) - \frac{d}{d x} (\frac{6}{x})

\frac{d}{d x} (\frac{x}{6}) = \frac{1}{6}

\frac{d}{d x} (\frac{6}{x}) = - \frac{6}{x ^{2}}

= \frac{1}{6} - (- \frac{6}{x ^{2}})

Simplify

= \frac{1}{6} + \frac{6}{x ^{2}}

Popular Examples

(\partial)/(\partial x)(-0.1*cos(6*x))

\frac{\partial}{\partial x} (- 0.1 \cdot cos (6 \cdot x))

limit as x approaches 0 of (-11x^2+9x)/x

x \to 0 lim (\frac{- 11 x ^{2} + 9 x}{x})

integral of xsin(3+3x)

\int x sin (3 + 3 x) d x

integral of (1/5 x^5+1/3 x^4-x)

\int (\frac{1}{5} x^{5} + \frac{1}{3} x^{4} - x) d x

limit as x approaches 0 of (1-2x)^{(1/x)}

x \to 0 lim ((1 - 2 x)^{(\frac{1}{x})})

Frequently Asked Questions (FAQ)

What is the derivative of y= x/6-6/x ?
The derivative of y= x/6-6/x is 1/6+6/(x^2)
What is the first derivative of y= x/6-6/x ?
The first derivative of y= x/6-6/x is 1/6+6/(x^2)