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Popular >

derivative of y= 5/pi+4/(x^2+9)

Solution

derivative of

y = \frac{5}{π} + \frac{4}{x ^{2} + 9}

Solution

- \frac{8 x}{( x ^{2} + 9 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{5}{π} + \frac{4}{x ^{2} + 9})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{5}{π}) + \frac{d}{d x} (\frac{4}{x ^{2} + 9})

\frac{d}{d x} (\frac{5}{π}) = 0

\frac{d}{d x} (\frac{4}{x ^{2} + 9}) = - \frac{8 x}{( x ^{2} + 9 ) ^{2}}

= 0 - \frac{8 x}{( x ^{2} + 9 ) ^{2}}

Simplify

= - \frac{8 x}{( x ^{2} + 9 ) ^{2}}

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Frequently Asked Questions (FAQ)

What is the derivative of y= 5/pi+4/(x^2+9) ?
The derivative of y= 5/pi+4/(x^2+9) is -(8x)/((x^2+9)^2)
What is the first derivative of y= 5/pi+4/(x^2+9) ?
The first derivative of y= 5/pi+4/(x^2+9) is -(8x)/((x^2+9)^2)