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Popular >

derivative of f(x)=10x-12+(27)/(x^4)

Solution

derivative of

f (x) = 10 x - 12 + \frac{27}{x ^{4}}

Solution

- \frac{108}{x ^{5}} + 10

Solution steps

\frac{d}{d x} (10 x - 12 + \frac{27}{x ^{4}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (10 x) - \frac{d}{d x} (12) + \frac{d}{d x} (\frac{27}{x ^{4}})

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

\frac{d}{d x} (12) = 0

\frac{d}{d x} (\frac{27}{x ^{4}}) = - \frac{108}{x ^{5}}

= 10 - 0 - \frac{108}{x ^{5}}

Simplify

= - \frac{108}{x ^{5}} + 10

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=10x-12+(27)/(x^4) ?
The derivative of f(x)=10x-12+(27)/(x^4) is -(108)/(x^5)+10
What is the first derivative of f(x)=10x-12+(27)/(x^4) ?
The first derivative of f(x)=10x-12+(27)/(x^4) is -(108)/(x^5)+10