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Popular >

derivative of-24+20x-10x^3+x^5

Solution

\frac{d}{d x} (- 24 + 20 x - 10 x^{3} + x^{5})

Solution

5 x^{4} - 30 x^{2} + 20

Solution steps

\frac{d}{d x} (- 24 + 20 x - 10 x^{3} + x^{5})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (24) + \frac{d}{d x} (20 x) - \frac{d}{d x} (10 x^{3}) + \frac{d}{d x} (x^{5})

\frac{d}{d x} (24) = 0

\frac{d}{d x} (20 x) = 20

\frac{d}{d x} (10 x^{3}) = 30 x^{2}

\frac{d}{d x} (x^{5}) = 5 x^{4}

= - 0 + 20 - 30 x^{2} + 5 x^{4}

Simplify

= 5 x^{4} - 30 x^{2} + 20

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Frequently Asked Questions (FAQ)

What is the derivative of-24+20x-10x^3+x^5 ?
The derivative of-24+20x-10x^3+x^5 is 5x^4-30x^2+20
What is the first derivative of-24+20x-10x^3+x^5 ?
The first derivative of-24+20x-10x^3+x^5 is 5x^4-30x^2+20