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Popular Calculus >

derivative of f(x)=x^{23}+50x^{17}+223

Solution

derivative of

f (x) = x^{23} + 50 x^{17} + 223

Solution

23 x^{22} + 850 x^{16}

Solution steps

\frac{d}{d x} (x^{23} + 50 x^{17} + 223)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{23}) + \frac{d}{d x} (50 x^{17}) + \frac{d}{d x} (223)

\frac{d}{d x} (x^{23}) = 23 x^{22}

\frac{d}{d x} (50 x^{17}) = 850 x^{16}

\frac{d}{d x} (223) = 0

= 23 x^{22} + 850 x^{16} + 0

Simplify

= 23 x^{22} + 850 x^{16}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=x^{23}+50x^{17}+223 ?
The derivative of f(x)=x^{23}+50x^{17}+223 is 23x^{22}+850x^{16}
What is the first derivative of f(x)=x^{23}+50x^{17}+223 ?
The first derivative of f(x)=x^{23}+50x^{17}+223 is 23x^{22}+850x^{16}