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Popular >

derivative of (6x^2-x^4/9)

Solution

\frac{d}{d x} (\frac{6 x ^{2} - x ^{4}}{9})

Solution

\frac{1}{9} (12 x - 4 x^{3})

Solution steps

\frac{d}{d x} (\frac{6 x ^{2} - x ^{4}}{9})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{9} \frac{d}{d x} (6 x^{2} - x^{4})

Apply the Sum/Difference Rule:

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

= \frac{1}{9} (\frac{d}{d x} (6 x^{2}) - \frac{d}{d x} (x^{4}))

\frac{d}{d x} (6 x^{2}) = 12 x

\frac{d}{d x} (x^{4}) = 4 x^{3}

= \frac{1}{9} (12 x - 4 x^{3})

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Frequently Asked Questions (FAQ)

What is the derivative of (6x^2-x^4/9) ?
The derivative of (6x^2-x^4/9) is 1/9 (12x-4x^3)
What is the first derivative of (6x^2-x^4/9) ?
The first derivative of (6x^2-x^4/9) is 1/9 (12x-4x^3)