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Popular >

derivative of x^2+4x((36.5/(x^2)))

Solution

\frac{d}{d x} (x^{2} + 4 x (\frac{36.5}{x ^{2}}))

Solution

2 x - \frac{146}{x ^{2}}

Solution steps

\frac{d}{d x} (x^{2} + 4 x (\frac{36.5}{x ^{2}}))

Simplify

x^{2} + 4 x (\frac{36.5}{x ^{2}}) : x^{2} + \frac{146}{x}

= \frac{d}{d x} (x^{2} + \frac{146}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{2}) + \frac{d}{d x} (\frac{146}{x})

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

\frac{d}{d x} (\frac{146}{x}) = - \frac{146}{x ^{2}}

= 2 x - \frac{146}{x ^{2}}

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Frequently Asked Questions (FAQ)

What is the derivative of x^2+4x((36.5/(x^2))) ?
The derivative of x^2+4x((36.5/(x^2))) is 2x-(146)/(x^2)
What is the first derivative of x^2+4x((36.5/(x^2))) ?
The first derivative of x^2+4x((36.5/(x^2))) is 2x-(146)/(x^2)