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Popular >

derivative of-4x+1/x-3

Solution

derivative of

- 4 x + \frac{1}{x} - 3

Solution

- \frac{1}{x ^{2}} - 4

Solution steps

\frac{d}{d x} (- 4 x + \frac{1}{x} - 3)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (4 x) + \frac{d}{d x} (\frac{1}{x}) - \frac{d}{d x} (3)

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

\frac{d}{d x} (\frac{1}{x}) = - \frac{1}{x ^{2}}

\frac{d}{d x} (3) = 0

= - 4 - \frac{1}{x ^{2}} - 0

Simplify

= - \frac{1}{x ^{2}} - 4

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Frequently Asked Questions (FAQ)

What is the derivative of-4x+1/x-3 ?
The derivative of-4x+1/x-3 is -1/(x^2)-4
What is the first derivative of-4x+1/x-3 ?
The first derivative of-4x+1/x-3 is -1/(x^2)-4