What is the derivative of 15x^2-15x^4 ?

The derivative of 15x^2-15x^4 is 30x-60x^3

What is the first derivative of 15x^2-15x^4 ?

The first derivative of 15x^2-15x^4 is 30x-60x^3

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\frac{d}{d x} (15 x^{2} - 15 x^{4})

30 x - 60 x^{3}

Solution steps

\frac{d}{d x} (15 x^{2} - 15 x^{4})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (15 x^{2}) - \frac{d}{d x} (15 x^{4})

\frac{d}{d x} (15 x^{2}) = 30 x

\frac{d}{d x} (15 x^{4}) = 60 x^{3}

= 30 x - 60 x^{3}

What is the derivative of 15x^2-15x^4 ?
The derivative of 15x^2-15x^4 is 30x-60x^3
What is the first derivative of 15x^2-15x^4 ?
The first derivative of 15x^2-15x^4 is 30x-60x^3