What is the derivative of 4x^5-10x^4+2 ?

The derivative of 4x^5-10x^4+2 is 20x^4-40x^3

What is the first derivative of 4x^5-10x^4+2 ?

The first derivative of 4x^5-10x^4+2 is 20x^4-40x^3

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\frac{d}{d x} (4 x^{5} - 10 x^{4} + 2)

20 x^{4} - 40 x^{3}

Solution steps

\frac{d}{d x} (4 x^{5} - 10 x^{4} + 2)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{5}) - \frac{d}{d x} (10 x^{4}) + \frac{d}{d x} (2)

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

\frac{d}{d x} (10 x^{4}) = 40 x^{3}

\frac{d}{d x} (2) = 0

= 20 x^{4} - 40 x^{3} + 0

Simplify

= 20 x^{4} - 40 x^{3}

What is the derivative of 4x^5-10x^4+2 ?
The derivative of 4x^5-10x^4+2 is 20x^4-40x^3
What is the first derivative of 4x^5-10x^4+2 ?
The first derivative of 4x^5-10x^4+2 is 20x^4-40x^3