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Popular >

derivative of-6/(x^2)-5/x

Solution

derivative of

- \frac{6}{x ^{2}} - \frac{5}{x}

Solution

\frac{12}{x ^{3}} + \frac{5}{x ^{2}}

Solution steps

\frac{d}{d x} (- \frac{6}{x ^{2}} - \frac{5}{x})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (\frac{6}{x ^{2}}) - \frac{d}{d x} (\frac{5}{x})

\frac{d}{d x} (\frac{6}{x ^{2}}) = - \frac{12}{x ^{3}}

\frac{d}{d x} (\frac{5}{x}) = - \frac{5}{x ^{2}}

= - (- \frac{12}{x ^{3}}) - (- \frac{5}{x ^{2}})

Simplify

= \frac{12}{x ^{3}} + \frac{5}{x ^{2}}

Popular Examples

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x \to 2 lim (x^{2} - x - 2)

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x \to - 2 lim (1)

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

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

(\partial)/(\partial x)(cos(2y-3x))

\frac{\partial}{\partial x} (cos (2 y - 3 x))

integral of (2x+1)ln(x+1)

\int (2 x + 1) ln (x + 1) d x

Frequently Asked Questions (FAQ)

What is the derivative of-6/(x^2)-5/x ?
The derivative of-6/(x^2)-5/x is (12)/(x^3)+5/(x^2)
What is the first derivative of-6/(x^2)-5/x ?
The first derivative of-6/(x^2)-5/x is (12)/(x^3)+5/(x^2)