What is the derivative of-12x^5+75x^4 ?

The derivative of-12x^5+75x^4 is -60x^4+300x^3

What is the first derivative of-12x^5+75x^4 ?

The first derivative of-12x^5+75x^4 is -60x^4+300x^3

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derivative of

- 12 x^{5} + 75 x^{4}

- 60 x^{4} + 300 x^{3}

Solution steps

\frac{d}{d x} (- 12 x^{5} + 75 x^{4})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (12 x^{5}) + \frac{d}{d x} (75 x^{4})

\frac{d}{d x} (12 x^{5}) = 60 x^{4}

\frac{d}{d x} (75 x^{4}) = 300 x^{3}

= - 60 x^{4} + 300 x^{3}

What is the derivative of-12x^5+75x^4 ?
The derivative of-12x^5+75x^4 is -60x^4+300x^3
What is the first derivative of-12x^5+75x^4 ?
The first derivative of-12x^5+75x^4 is -60x^4+300x^3