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Popular >

derivative of (8-x)/5+(sqrt(16+x^2))/3

Solution

derivative of

\frac{8 - x}{5} + \frac{16 + x ^{2}}{3}

Solution

- \frac{1}{5} + \frac{x}{3 16 + x ^{2}}

Solution steps

\frac{d}{d x} (\frac{8 - x}{5} + \frac{16 + x ^{2}}{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{8 - x}{5}) + \frac{d}{d x} (\frac{16 + x ^{2}}{3})

\frac{d}{d x} (\frac{8 - x}{5}) = - \frac{1}{5}

\frac{d}{d x} (\frac{16 + x ^{2}}{3}) = \frac{x}{3 16 + x ^{2}}

= - \frac{1}{5} + \frac{x}{3 16 + x ^{2}}

Graph

Popular Examples

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\int \frac{1}{x 16 x ^{2} - 1} d x

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\frac{d}{d x} (ln (e^{2 x} + 1))

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x \to \infty lim ((1 + \frac{1}{x})^{x + 3})

Frequently Asked Questions (FAQ)

What is the derivative of (8-x)/5+(sqrt(16+x^2))/3 ?
The derivative of (8-x)/5+(sqrt(16+x^2))/3 is -1/5+x/(3sqrt(16+x^2))
What is the first derivative of (8-x)/5+(sqrt(16+x^2))/3 ?
The first derivative of (8-x)/5+(sqrt(16+x^2))/3 is -1/5+x/(3sqrt(16+x^2))