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Evaluate
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Differentiate w.r.t. x
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\frac{x^{8}}{x^{2}}
To multiply powers of the same base, add their exponents. Add 3 and 5 to get 8.
x^{6}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 8 to get 6.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{8}}{x^{2}})
To multiply powers of the same base, add their exponents. Add 3 and 5 to get 8.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{6})
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 8 to get 6.
6x^{6-1}
The derivative of ax^{n} is nax^{n-1}.
6x^{5}
Subtract 1 from 6.