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Popular >

derivative of x^4-2x^3-4x^2-5x+2

Solution

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

Solution

4 x^{3} - 6 x^{2} - 8 x - 5

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d}{d x} (4 x^{2}) = 8 x

\frac{d}{d x} (5 x) = 5

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

= 4 x^{3} - 6 x^{2} - 8 x - 5 + 0

Simplify

= 4 x^{3} - 6 x^{2} - 8 x - 5

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Frequently Asked Questions (FAQ)

What is the derivative of x^4-2x^3-4x^2-5x+2 ?
The derivative of x^4-2x^3-4x^2-5x+2 is 4x^3-6x^2-8x-5
What is the first derivative of x^4-2x^3-4x^2-5x+2 ?
The first derivative of x^4-2x^3-4x^2-5x+2 is 4x^3-6x^2-8x-5