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Popular >

derivative of 60x^4-180x^3+180x^2-60x

Solution

\frac{d}{d x} (60 x^{4} - 180 x^{3} + 180 x^{2} - 60 x)

Solution

240 x^{3} - 540 x^{2} + 360 x - 60

Solution steps

\frac{d}{d x} (60 x^{4} - 180 x^{3} + 180 x^{2} - 60 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (60 x^{4}) - \frac{d}{d x} (180 x^{3}) + \frac{d}{d x} (180 x^{2}) - \frac{d}{d x} (60 x)

\frac{d}{d x} (60 x^{4}) = 240 x^{3}

\frac{d}{d x} (180 x^{3}) = 540 x^{2}

\frac{d}{d x} (180 x^{2}) = 360 x

\frac{d}{d x} (60 x) = 60

= 240 x^{3} - 540 x^{2} + 360 x - 60

Graph

Popular Examples

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\frac{d}{d t} (10000 (12 + t) e^{- 0.05 t})

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\frac{d}{d x} (e^{60 x + 50 x^{2}})

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Frequently Asked Questions (FAQ)

What is the derivative of 60x^4-180x^3+180x^2-60x ?
The derivative of 60x^4-180x^3+180x^2-60x is 240x^3-540x^2+360x-60
What is the first derivative of 60x^4-180x^3+180x^2-60x ?
The first derivative of 60x^4-180x^3+180x^2-60x is 240x^3-540x^2+360x-60