What is the derivative of 5x^2-x^3 ?

The derivative of 5x^2-x^3 is 10x-3x^2

What is the first derivative of 5x^2-x^3 ?

The first derivative of 5x^2-x^3 is 10x-3x^2

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derivative of

5 x^{2} - x^{3}

10 x - 3 x^{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (5 x^{2}) = 10 x

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

= 10 x - 3 x^{2}

x \to 0 lim (ln (1 - 7 x))

x = y^{2}, x = 81

\frac{\partial}{\partial y} (2 x e^{x y})

\frac{\partial}{\partial x} (2 x yz + x y^{2} + x z)

\frac{4 x}{x + 2}

What is the derivative of 5x^2-x^3 ?
The derivative of 5x^2-x^3 is 10x-3x^2
What is the first derivative of 5x^2-x^3 ?
The first derivative of 5x^2-x^3 is 10x-3x^2