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

The derivative of 3x^4-3x^3-2 is 12x^3-9x^2

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

The first derivative of 3x^4-3x^3-2 is 12x^3-9x^2

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

12 x^{3} - 9 x^{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (3 x^{4}) = 12 x^{3}

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

\frac{d}{d x} (2) = 0

= 12 x^{3} - 9 x^{2} - 0

Simplify

= 12 x^{3} - 9 x^{2}

x \to 1 - lim (3 x)

\frac{d}{d x} (\frac{π}{2 x})

\frac{d}{d x} (cos ((1 - x^{2})^{2}))

y = x^{2}, y = 4 - x^{2}

\frac{d}{d x} (\frac{x}{5 + x})

What is the derivative of 3x^4-3x^3-2 ?
The derivative of 3x^4-3x^3-2 is 12x^3-9x^2
What is the first derivative of 3x^4-3x^3-2 ?
The first derivative of 3x^4-3x^3-2 is 12x^3-9x^2