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Popular Calculus >

derivative of x^9-10x^5+2x^2-10

Solution

derivative of

x^{9} - 10 x^{5} + 2 x^{2} - 10

Solution

9 x^{8} - 50 x^{4} + 4 x

Solution steps

\frac{d}{d x} (x^{9} - 10 x^{5} + 2 x^{2} - 10)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{9}) - \frac{d}{d x} (10 x^{5}) + \frac{d}{d x} (2 x^{2}) - \frac{d}{d x} (10)

\frac{d}{d x} (x^{9}) = 9 x^{8}

\frac{d}{d x} (10 x^{5}) = 50 x^{4}

\frac{d}{d x} (2 x^{2}) = 4 x

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

= 9 x^{8} - 50 x^{4} + 4 x - 0

Simplify

= 9 x^{8} - 50 x^{4} + 4 x

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of x^9-10x^5+2x^2-10 ?
The derivative of x^9-10x^5+2x^2-10 is 9x^8-50x^4+4x
What is the first derivative of x^9-10x^5+2x^2-10 ?
The first derivative of x^9-10x^5+2x^2-10 is 9x^8-50x^4+4x