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Popular >

derivative of f(x)=(x^3+7x+2)9+1/(x^2)

Solution

derivative of

f (x) = (x^{3} + 7 x + 2) 9 + \frac{1}{x ^{2}}

Solution

9 (3 x^{2} + 7) - \frac{2}{x ^{3}}

Solution steps

\frac{d}{d x} ((x^{3} + 7 x + 2) \cdot 9 + \frac{1}{x ^{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} ((x^{3} + 7 x + 2) \cdot 9) + \frac{d}{d x} (\frac{1}{x ^{2}})

\frac{d}{d x} ((x^{3} + 7 x + 2) \cdot 9) = 9 (3 x^{2} + 7)

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

= 9 (3 x^{2} + 7) - \frac{2}{x ^{3}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=(x^3+7x+2)9+1/(x^2) ?
The derivative of f(x)=(x^3+7x+2)9+1/(x^2) is 9(3x^2+7)-2/(x^3)
What is the first derivative of f(x)=(x^3+7x+2)9+1/(x^2) ?
The first derivative of f(x)=(x^3+7x+2)9+1/(x^2) is 9(3x^2+7)-2/(x^3)