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Popular >

derivative of (y^3)/(21)+7/(4y)

Solution

derivative of

\frac{y ^{3}}{21} + \frac{7}{4 y}

Solution

\frac{y ^{2}}{7} - \frac{7}{4 y ^{2}}

Solution steps

\frac{d}{d y} (\frac{y ^{3}}{21} + \frac{7}{4 y})

Apply the Sum/Difference Rule:

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

= \frac{d}{d y} (\frac{y ^{3}}{21}) + \frac{d}{d y} (\frac{7}{4 y})

\frac{d}{d y} (\frac{y ^{3}}{21}) = \frac{y ^{2}}{7}

\frac{d}{d y} (\frac{7}{4 y}) = - \frac{7}{4 y ^{2}}

= \frac{y ^{2}}{7} - \frac{7}{4 y ^{2}}

Graph

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x \to 6 lim (\frac{x}{x ^{2} + 8})

Frequently Asked Questions (FAQ)

What is the derivative of (y^3)/(21)+7/(4y) ?
The derivative of (y^3)/(21)+7/(4y) is (y^2)/7-7/(4y^2)
What is the first derivative of (y^3)/(21)+7/(4y) ?
The first derivative of (y^3)/(21)+7/(4y) is (y^2)/7-7/(4y^2)