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

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

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

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