What is the derivative of g(x)=27x^2-x^3 ?

The derivative of g(x)=27x^2-x^3 is 54x-3x^2

What is the first derivative of g(x)=27x^2-x^3 ?

The first derivative of g(x)=27x^2-x^3 is 54x-3x^2

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derivative of

g (x) = 27 x^{2} - x^{3}

54 x - 3 x^{2}

Solution steps

\frac{d}{d x} (27 x^{2} - x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (27 x^{2}) - \frac{d}{d x} (x^{3})

\frac{d}{d x} (27 x^{2}) = 54 x

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

= 54 x - 3 x^{2}

y = 4 - 9 x^{2}, (- 3, - 77)

\int \frac{3 x}{x ^{4} + 1} d x

\frac{1}{3 + 2 x}

\frac{s}{( s + 2 ) ( s ^{2} + 4 )}

\frac{\partial}{\partial x} (2 arctan (\frac{x}{y}))

What is the derivative of g(x)=27x^2-x^3 ?
The derivative of g(x)=27x^2-x^3 is 54x-3x^2
What is the first derivative of g(x)=27x^2-x^3 ?
The first derivative of g(x)=27x^2-x^3 is 54x-3x^2