Solve (9x^7 3x^5 - 3*x^(-11))'

Evaluate

((9 x^{7} \times 3 x^{5} - 3 x^{- 11}))^{'}

Evaluate

(9 x^{7} \times 3 x^{5} - 3 x^{- 11})^{'}

Multiply

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(27 x^{12} - 3 x^{- 11})^{'}

Rewrite the expression

\frac{d}{d x} (27 x^{12} - 3 x^{- 11})

Use differentiation rule \frac{d}{d x} (f (x) \pm g (x)) = \frac{d}{d x} (f (x)) \pm \frac{d}{d x} (g (x))

\frac{d}{d x} (27 x^{12}) - \frac{d}{d x} (3 x^{- 11})

Calculate

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324 x^{11} - \frac{d}{d x} (3 x^{- 11})

Calculate

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324 x^{11} - (- 33 x^{- 12})

Removing 0 doesn't change the value,so remove it from the expression

324 x^{11} + 33 x^{- 12}

Rewrite the expression

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324 x^{11} + \frac{33}{x ^{12}}

Reduce fractions to a common denominator

\frac{324 x ^{11} \times x ^{12}}{x ^{12}} + \frac{33}{x ^{12}}

Write all numerators above the common denominator

\frac{324 x ^{11} \times x ^{12} + 33}{x ^{12}}

Solution

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\frac{324 x ^{23} + 33}{x ^{12}}

Evaluate the derivative