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

The derivative of x^4+3x^3-x^2 is 4x^3+9x^2-2x

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

The first derivative of x^4+3x^3-x^2 is 4x^3+9x^2-2x

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

4 x^{3} + 9 x^{2} - 2 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

= 4 x^{3} + 9 x^{2} - 2 x

\frac{s + 1}{( s ^{2} - 4 s ) ( s + 5 )}

x \to 2 lim (ln (x^{2} - 4))

\frac{d}{d x} (\frac{e ^{x}}{x \cdot cos ( x )})

f^{^{''}} + 16 f = sin (2 x)

\int_{6}^{12} 144 - x^{2} d x

What is the derivative of x^4+3x^3-x^2 ?
The derivative of x^4+3x^3-x^2 is 4x^3+9x^2-2x
What is the first derivative of x^4+3x^3-x^2 ?
The first derivative of x^4+3x^3-x^2 is 4x^3+9x^2-2x