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Popular >

derivative of (sqrt((x^2+5^3))/9+3)

Solution

\frac{d}{d x} \frac{( x ^{2} + 5 ) ^{3}}{9} + 3

Solution

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

Solution steps

\frac{d}{d x} \frac{( x ^{2} + 5 ) ^{3}}{9} + 3

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} \frac{( x ^{2} + 5 ) ^{3}}{9} + \frac{d}{d x} (3)

\frac{d}{d x} \frac{( x ^{2} + 5 ) ^{3}}{9} = \frac{x x ^{2} + 5}{3}

\frac{d}{d x} (3) = 0

= \frac{x x ^{2} + 5}{3} + 0

Simplify

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

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of (sqrt((x^2+5^3))/9+3) ?
The derivative of (sqrt((x^2+5^3))/9+3) is (xsqrt(x^2+5))/3
What is the first derivative of (sqrt((x^2+5^3))/9+3) ?
The first derivative of (sqrt((x^2+5^3))/9+3) is (xsqrt(x^2+5))/3