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Popular >

derivative of 60x^4+180x^3-240x^2

Solution

\frac{d}{d x} (60 x^{4} + 180 x^{3} - 240 x^{2})

Solution

240 x^{3} + 540 x^{2} - 480 x

Solution steps

\frac{d}{d x} (60 x^{4} + 180 x^{3} - 240 x^{2})

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} (240 x^{2})

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

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

\frac{d}{d x} (240 x^{2}) = 480 x

= 240 x^{3} + 540 x^{2} - 480 x

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 60x^4+180x^3-240x^2 ?
The derivative of 60x^4+180x^3-240x^2 is 240x^3+540x^2-480x
What is the first derivative of 60x^4+180x^3-240x^2 ?
The first derivative of 60x^4+180x^3-240x^2 is 240x^3+540x^2-480x