What is the derivative of x^2-x^3+4 ?

The derivative of x^2-x^3+4 is -3x^2+2x

What is the first derivative of x^2-x^3+4 ?

The first derivative of x^2-x^3+4 is -3x^2+2x

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derivative of

x^{2} - x^{3} + 4

- 3 x^{2} + 2 x

Solution steps

\frac{d}{d x} (x^{2} - x^{3} + 4)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{2}) - \frac{d}{d x} (x^{3}) + \frac{d}{d x} (4)

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

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

\frac{d}{d x} (4) = 0

= 2 x - 3 x^{2} + 0

Simplify

= - 3 x^{2} + 2 x

x \to \infty lim (x^{3} - 1)

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

y^{^{'}} = - \frac{( 2 x + ln ( y ) ) y}{x}

y = x^{2} sin (π x)

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

What is the derivative of x^2-x^3+4 ?
The derivative of x^2-x^3+4 is -3x^2+2x
What is the first derivative of x^2-x^3+4 ?
The first derivative of x^2-x^3+4 is -3x^2+2x