What is the derivative of f(x)=9x+4x^{-1} ?

The derivative of f(x)=9x+4x^{-1} is 9-4/(x^2)

What is the first derivative of f(x)=9x+4x^{-1} ?

The first derivative of f(x)=9x+4x^{-1} is 9-4/(x^2)

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derivative of

f (x) = 9 x + 4 x^{- 1}

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

Solution steps

\frac{d}{d x} (9 x + 4 x^{- 1})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (9 x) + \frac{d}{d x} (4 x^{- 1})

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

\frac{d}{d x} (4 x^{- 1}) = - \frac{4}{x ^{2}}

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

What is the derivative of f(x)=9x+4x^{-1} ?
The derivative of f(x)=9x+4x^{-1} is 9-4/(x^2)
What is the first derivative of f(x)=9x+4x^{-1} ?
The first derivative of f(x)=9x+4x^{-1} is 9-4/(x^2)