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Popular >

derivative of 30x^4-60x^3+60x-30

Solution

\frac{d}{d x} (30 x^{4} - 60 x^{3} + 60 x - 30)

Solution

120 x^{3} - 180 x^{2} + 60

Solution steps

\frac{d}{d x} (30 x^{4} - 60 x^{3} + 60 x - 30)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (30 x^{4}) - \frac{d}{d x} (60 x^{3}) + \frac{d}{d x} (60 x) - \frac{d}{d x} (30)

\frac{d}{d x} (30 x^{4}) = 120 x^{3}

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

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

\frac{d}{d x} (30) = 0

= 120 x^{3} - 180 x^{2} + 60 - 0

Simplify

= 120 x^{3} - 180 x^{2} + 60

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 30x^4-60x^3+60x-30 ?
The derivative of 30x^4-60x^3+60x-30 is 120x^3-180x^2+60
What is the first derivative of 30x^4-60x^3+60x-30 ?
The first derivative of 30x^4-60x^3+60x-30 is 120x^3-180x^2+60