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Popular >

derivative of 3x^5-5x^3-10

Solution

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

Solution

15 x^{4} - 15 x^{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (3 x^{5}) = 15 x^{4}

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

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

= 15 x^{4} - 15 x^{2} - 0

Simplify

= 15 x^{4} - 15 x^{2}

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Frequently Asked Questions (FAQ)

What is the derivative of 3x^5-5x^3-10 ?
The derivative of 3x^5-5x^3-10 is 15x^4-15x^2
What is the first derivative of 3x^5-5x^3-10 ?
The first derivative of 3x^5-5x^3-10 is 15x^4-15x^2