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Popular >

derivative of 3/(2x+(4x)/5)

Solution

\frac{d}{d x} (\frac{3}{2 x} + \frac{4 x}{5})

Solution

- \frac{3}{2 x ^{2}} + \frac{4}{5}

Solution steps

\frac{d}{d x} (\frac{3}{2 x} + \frac{4 x}{5})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{3}{2 x}) + \frac{d}{d x} (\frac{4 x}{5})

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

\frac{d}{d x} (\frac{4 x}{5}) = \frac{4}{5}

= - \frac{3}{2 x ^{2}} + \frac{4}{5}

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y = \frac{3 x + 4}{2 x - 1}

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\int \frac{2}{3} t^{\frac{3}{2}} - 8 sin (t) + C d t

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\frac{\partial}{\partial x} (e^{x^{2} + y} - 2 x y)

y^{^{'}} = x y (y + 2)

Frequently Asked Questions (FAQ)

What is the derivative of 3/(2x+(4x)/5) ?
The derivative of 3/(2x+(4x)/5) is -3/(2x^2)+4/5
What is the first derivative of 3/(2x+(4x)/5) ?
The first derivative of 3/(2x+(4x)/5) is -3/(2x^2)+4/5