What is the derivative of f(x)=2+7/x+2/(x^2) ?

The derivative of f(x)=2+7/x+2/(x^2) is -7/(x^2)-4/(x^3)

What is the first derivative of f(x)=2+7/x+2/(x^2) ?

The first derivative of f(x)=2+7/x+2/(x^2) is -7/(x^2)-4/(x^3)

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derivative of

f (x) = 2 + \frac{7}{x} + \frac{2}{x ^{2}}

- \frac{7}{x ^{2}} - \frac{4}{x ^{3}}

Solution steps

\frac{d}{d x} (2 + \frac{7}{x} + \frac{2}{x ^{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2) + \frac{d}{d x} (\frac{7}{x}) + \frac{d}{d x} (\frac{2}{x ^{2}})

\frac{d}{d x} (2) = 0

\frac{d}{d x} (\frac{7}{x}) = - \frac{7}{x ^{2}}

\frac{d}{d x} (\frac{2}{x ^{2}}) = - \frac{4}{x ^{3}}

= 0 - \frac{7}{x ^{2}} - \frac{4}{x ^{3}}

Simplify

= - \frac{7}{x ^{2}} - \frac{4}{x ^{3}}

1 + tan^{2} (x)

\int (1 - csc (x) cot (x)) d x

\frac{d}{d x} (sin (2 x^{3} - 3))

x^{2} + 6 x

\frac{d}{d x} (e^{2 x} e^{3 x} e^{4 x})

What is the derivative of f(x)=2+7/x+2/(x^2) ?
The derivative of f(x)=2+7/x+2/(x^2) is -7/(x^2)-4/(x^3)
What is the first derivative of f(x)=2+7/x+2/(x^2) ?
The first derivative of f(x)=2+7/x+2/(x^2) is -7/(x^2)-4/(x^3)