What is the derivative of 3x^5-3x^4+x^3 ?

The derivative of 3x^5-3x^4+x^3 is 15x^4-12x^3+3x^2

What is the first derivative of 3x^5-3x^4+x^3 ?

The first derivative of 3x^5-3x^4+x^3 is 15x^4-12x^3+3x^2

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derivative of

3 x^{5} - 3 x^{4} + x^{3}

15 x^{4} - 12 x^{3} + 3 x^{2}

Solution steps

\frac{d}{d x} (3 x^{5} - 3 x^{4} + x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{5}) - \frac{d}{d x} (3 x^{4}) + \frac{d}{d x} (x^{3})

\frac{d}{d x} (3 x^{5}) = 15 x^{4}

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

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

= 15 x^{4} - 12 x^{3} + 3 x^{2}

What is the derivative of 3x^5-3x^4+x^3 ?
The derivative of 3x^5-3x^4+x^3 is 15x^4-12x^3+3x^2
What is the first derivative of 3x^5-3x^4+x^3 ?
The first derivative of 3x^5-3x^4+x^3 is 15x^4-12x^3+3x^2