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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(325x^{36578})
Multiply 5 and 65 to get 325.
36578\times 325x^{36578-1}
The derivative of ax^{n} is nax^{n-1}.
11887850x^{36578-1}
Multiply 36578 times 325.
11887850x^{36577}
Subtract 1 from 36578.
325x^{36578}
Multiply 5 and 65 to get 325.