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Popular >

derivative of (11-x)/7+(sqrt(36+x^2))/3

Solution

derivative of

\frac{11 - x}{7} + \frac{36 + x ^{2}}{3}

Solution

- \frac{1}{7} + \frac{x}{3 36 + x ^{2}}

Solution steps

\frac{d}{d x} (\frac{11 - x}{7} + \frac{36 + x ^{2}}{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{11 - x}{7}) + \frac{d}{d x} (\frac{36 + x ^{2}}{3})

\frac{d}{d x} (\frac{11 - x}{7}) = - \frac{1}{7}

\frac{d}{d x} (\frac{36 + x ^{2}}{3}) = \frac{x}{3 36 + x ^{2}}

= - \frac{1}{7} + \frac{x}{3 36 + x ^{2}}

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Frequently Asked Questions (FAQ)

What is the derivative of (11-x)/7+(sqrt(36+x^2))/3 ?
The derivative of (11-x)/7+(sqrt(36+x^2))/3 is -1/7+x/(3sqrt(36+x^2))
What is the first derivative of (11-x)/7+(sqrt(36+x^2))/3 ?
The first derivative of (11-x)/7+(sqrt(36+x^2))/3 is -1/7+x/(3sqrt(36+x^2))