What is the derivative of 3x^4-12x^3 ?

The derivative of 3x^4-12x^3 is 12x^3-36x^2

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

The first derivative of 3x^4-12x^3 is 12x^3-36x^2

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

12 x^{3} - 36 x^{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (12 x^{3}) = 36 x^{2}

= 12 x^{3} - 36 x^{2}

x \to 1 lim (\frac{1}{x} - 1)

y = x^{2} - x, y = 0, x = 0

\frac{d}{d x} (9 - 4 x^{2})

\int \frac{3 x ^{2} - 8 x + 5}{( x + 1 ) ^{4}} d x

(\frac{1}{1 - x})^{^{'}}

What is the derivative of 3x^4-12x^3 ?
The derivative of 3x^4-12x^3 is 12x^3-36x^2
What is the first derivative of 3x^4-12x^3 ?
The first derivative of 3x^4-12x^3 is 12x^3-36x^2