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Popular >

derivative of y=4x^2-13x-9/(x^4)

Solution

derivative of

y = 4 x^{2} - 13 x - \frac{9}{x ^{4}}

Solution

8 x - 13 + \frac{36}{x ^{5}}

Solution steps

\frac{d}{d x} (4 x^{2} - 13 x - \frac{9}{x ^{4}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{2}) - \frac{d}{d x} (13 x) - \frac{d}{d x} (\frac{9}{x ^{4}})

\frac{d}{d x} (4 x^{2}) = 8 x

\frac{d}{d x} (13 x) = 13

\frac{d}{d x} (\frac{9}{x ^{4}}) = - \frac{36}{x ^{5}}

= 8 x - 13 - (- \frac{36}{x ^{5}})

Simplify

= 8 x - 13 + \frac{36}{x ^{5}}

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Frequently Asked Questions (FAQ)

What is the derivative of y=4x^2-13x-9/(x^4) ?
The derivative of y=4x^2-13x-9/(x^4) is 8x-13+(36)/(x^5)
What is the first derivative of y=4x^2-13x-9/(x^4) ?
The first derivative of y=4x^2-13x-9/(x^4) is 8x-13+(36)/(x^5)