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Popular >

derivative of y= 1/(3x^2)-5/(2x)

Solution

derivative of

y = \frac{1}{3 x ^{2}} - \frac{5}{2 x}

Solution

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

Solution steps

\frac{d}{d x} (\frac{1}{3 x ^{2}} - \frac{5}{2 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{1}{3 x ^{2}}) - \frac{d}{d x} (\frac{5}{2 x})

\frac{d}{d x} (\frac{1}{3 x ^{2}}) = - \frac{2}{3 x ^{3}}

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

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

Simplify

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

Popular Examples

derivative of f(x)=(2-ln(x))/(2xsqrt(x))derivative of

f (x) = \frac{2 - ln ( x )}{2 x x}

y^{'''}-2y^{''}-4y^'+8y=0

y^{^{'''}} - 2 y^{^{''}} - 4 y^{^{'}} + 8 y = 0

(\partial)/(\partial y)(-4x^3+4x)

\frac{\partial}{\partial y} (- 4 x^{3} + 4 x)

integral from 0 to pi/(28) of tan(14x)

\int_{0}^{\frac{π}{28}} tan (14 x) d x

derivative of (3x/(5y))

\frac{d}{d x} (\frac{3 x}{5 y})

Frequently Asked Questions (FAQ)

What is the derivative of y= 1/(3x^2)-5/(2x) ?
The derivative of y= 1/(3x^2)-5/(2x) is -2/(3x^3)+5/(2x^2)
What is the first derivative of y= 1/(3x^2)-5/(2x) ?
The first derivative of y= 1/(3x^2)-5/(2x) is -2/(3x^3)+5/(2x^2)