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Popular >

derivative of (x^2/3+(5x)/7-8/5)

Solution

\frac{d}{d x} (\frac{x ^{2}}{3} + \frac{5 x}{7} - \frac{8}{5})

Solution

\frac{2 x}{3} + \frac{5}{7}

Solution steps

\frac{d}{d x} (\frac{x ^{2}}{3} + \frac{5 x}{7} - \frac{8}{5})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{2}}{3}) + \frac{d}{d x} (\frac{5 x}{7}) - \frac{d}{d x} (\frac{8}{5})

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

\frac{d}{d x} (\frac{5 x}{7}) = \frac{5}{7}

\frac{d}{d x} (\frac{8}{5}) = 0

= \frac{2 x}{3} + \frac{5}{7} - 0

Simplify

= \frac{2 x}{3} + \frac{5}{7}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of (x^2/3+(5x)/7-8/5) ?
The derivative of (x^2/3+(5x)/7-8/5) is (2x)/3+5/7
What is the first derivative of (x^2/3+(5x)/7-8/5) ?
The first derivative of (x^2/3+(5x)/7-8/5) is (2x)/3+5/7