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Popular >

derivative of 30x^4-80x^3+60x^2-10

Solution

\frac{d}{d x} (30 x^{4} - 80 x^{3} + 60 x^{2} - 10)

Solution

120 x^{3} - 240 x^{2} + 120 x

Solution steps

\frac{d}{d x} (30 x^{4} - 80 x^{3} + 60 x^{2} - 10)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (30 x^{4}) - \frac{d}{d x} (80 x^{3}) + \frac{d}{d x} (60 x^{2}) - \frac{d}{d x} (10)

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

\frac{d}{d x} (80 x^{3}) = 240 x^{2}

\frac{d}{d x} (60 x^{2}) = 120 x

\frac{d}{d x} (10) = 0

= 120 x^{3} - 240 x^{2} + 120 x - 0

Simplify

= 120 x^{3} - 240 x^{2} + 120 x

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Frequently Asked Questions (FAQ)

What is the derivative of 30x^4-80x^3+60x^2-10 ?
The derivative of 30x^4-80x^3+60x^2-10 is 120x^3-240x^2+120x
What is the first derivative of 30x^4-80x^3+60x^2-10 ?
The first derivative of 30x^4-80x^3+60x^2-10 is 120x^3-240x^2+120x