What is the derivative of f(x)=2x^3-5x^4 ?

The derivative of f(x)=2x^3-5x^4 is 6x^2-20x^3

What is the first derivative of f(x)=2x^3-5x^4 ?

The first derivative of f(x)=2x^3-5x^4 is 6x^2-20x^3

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derivative of

f (x) = 2 x^{3} - 5 x^{4}

6 x^{2} - 20 x^{3}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 6 x^{2} - 20 x^{3}

What is the derivative of f(x)=2x^3-5x^4 ?
The derivative of f(x)=2x^3-5x^4 is 6x^2-20x^3
What is the first derivative of f(x)=2x^3-5x^4 ?
The first derivative of f(x)=2x^3-5x^4 is 6x^2-20x^3