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Popular >

d/(dy)((y^3)/9+3/(4y))

Solution

\frac{d}{d y} (\frac{y ^{3}}{9} + \frac{3}{4 y})

Solution

\frac{y ^{2}}{3} - \frac{3}{4 y ^{2}}

Solution steps

\frac{d}{d y} (\frac{y ^{3}}{9} + \frac{3}{4 y})

Apply the Sum/Difference Rule:

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

= \frac{d}{d y} (\frac{y ^{3}}{9}) + \frac{d}{d y} (\frac{3}{4 y})

\frac{d}{d y} (\frac{y ^{3}}{9}) = \frac{y ^{2}}{3}

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

= \frac{y ^{2}}{3} - \frac{3}{4 y ^{2}}

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Frequently Asked Questions (FAQ)

What is the d/(dy)((y^3)/9+3/(4y)) ?
The d/(dy)((y^3)/9+3/(4y)) is (y^2)/3-3/(4y^2)
What is the first d/(dy)((y^3)/9+3/(4y)) ?
The first d/(dy)((y^3)/9+3/(4y)) is (y^2)/3-3/(4y^2)