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Popular >

derivative of (25/(x^2)-5/x)

Solution

\frac{d}{d x} (\frac{25}{x ^{2}} - \frac{5}{x})

Solution

- \frac{50}{x ^{3}} + \frac{5}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{25}{x ^{2}} - \frac{5}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{25}{x ^{2}}) - \frac{d}{d x} (\frac{5}{x})

\frac{d}{d x} (\frac{25}{x ^{2}}) = - \frac{50}{x ^{3}}

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

= - \frac{50}{x ^{3}} - (- \frac{5}{x ^{2}})

Simplify

= - \frac{50}{x ^{3}} + \frac{5}{x ^{2}}

Popular Examples

y^{''}-2y^'+y=e^{3x}

y^{^{''}} - 2 y^{^{'}} + y = e^{3 x}

derivative of sqrt(r^2-19x^2)

\frac{d}{d x} (r^{2} - 19 x^{2})

limit as x approaches 3 of x^2+3x

x \to 3 lim (x^{2} + 3 x)

limit as x approaches 2 of (x^2-3)e^x

x \to 2 lim ((x^{2} - 3) e^{x})

derivative of f(x)=x+3/(x^2)derivative of

f (x) = x + \frac{3}{x ^{2}}

Frequently Asked Questions (FAQ)

What is the derivative of (25/(x^2)-5/x) ?
The derivative of (25/(x^2)-5/x) is -(50)/(x^3)+5/(x^2)
What is the first derivative of (25/(x^2)-5/x) ?
The first derivative of (25/(x^2)-5/x) is -(50)/(x^3)+5/(x^2)