What is the derivative of 6/(x^3)-6/(x^2)-1/x+350 ?

The derivative of 6/(x^3)-6/(x^2)-1/x+350 is (12)/(x^3)+1/(x^2)-(18)/(x^4)

What is the first derivative of 6/(x^3)-6/(x^2)-1/x+350 ?

The first derivative of 6/(x^3)-6/(x^2)-1/x+350 is (12)/(x^3)+1/(x^2)-(18)/(x^4)

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derivative of

\frac{6}{x ^{3}} - \frac{6}{x ^{2}} - \frac{1}{x} + 350

\frac{12}{x ^{3}} + \frac{1}{x ^{2}} - \frac{18}{x ^{4}}

Solution steps

\frac{d}{d x} (\frac{6}{x ^{3}} - \frac{6}{x ^{2}} - \frac{1}{x} + 350)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{6}{x ^{3}}) - \frac{d}{d x} (\frac{6}{x ^{2}}) - \frac{d}{d x} (\frac{1}{x}) + \frac{d}{d x} (350)

\frac{d}{d x} (\frac{6}{x ^{3}}) = - \frac{18}{x ^{4}}

\frac{d}{d x} (\frac{6}{x ^{2}}) = - \frac{12}{x ^{3}}

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

\frac{d}{d x} (350) = 0

= - \frac{18}{x ^{4}} - (- \frac{12}{x ^{3}}) - (- \frac{1}{x ^{2}}) + 0

Simplify

= \frac{12}{x ^{3}} + \frac{1}{x ^{2}} - \frac{18}{x ^{4}}

\frac{d}{d x} (x^{3} + 5 x)

\frac{d}{d x} (2 x + 2 x ln (x))

(4 x + 4)^{\frac{1}{3}}, at x = 2

y = \frac{- 6 x}{x ^{2} + 1}, (- 1, 3)

y^{^{''}} + 4 y^{^{'}} - 32 y = 0

What is the derivative of 6/(x^3)-6/(x^2)-1/x+350 ?
The derivative of 6/(x^3)-6/(x^2)-1/x+350 is (12)/(x^3)+1/(x^2)-(18)/(x^4)
What is the first derivative of 6/(x^3)-6/(x^2)-1/x+350 ?
The first derivative of 6/(x^3)-6/(x^2)-1/x+350 is (12)/(x^3)+1/(x^2)-(18)/(x^4)