What is the derivative of 3x^2-5x^3+4x^{20} ?

The derivative of 3x^2-5x^3+4x^{20} is 6x-15x^2+80x^{19}

What is the first derivative of 3x^2-5x^3+4x^{20} ?

The first derivative of 3x^2-5x^3+4x^{20} is 6x-15x^2+80x^{19}

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derivative of

3 x^{2} - 5 x^{3} + 4 x^{20}

6 x - 15 x^{2} + 80 x^{19}

Solution steps

\frac{d}{d x} (3 x^{2} - 5 x^{3} + 4 x^{20})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (5 x^{3}) + \frac{d}{d x} (4 x^{20})

\frac{d}{d x} (3 x^{2}) = 6 x

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

\frac{d}{d x} (4 x^{20}) = 80 x^{19}

= 6 x - 15 x^{2} + 80 x^{19}

What is the derivative of 3x^2-5x^3+4x^{20} ?
The derivative of 3x^2-5x^3+4x^{20} is 6x-15x^2+80x^{19}
What is the first derivative of 3x^2-5x^3+4x^{20} ?
The first derivative of 3x^2-5x^3+4x^{20} is 6x-15x^2+80x^{19}