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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(25x^{49})
To multiply powers of the same base, add their exponents. Add 48 and 1 to get 49.
49\times 25x^{49-1}
The derivative of ax^{n} is nax^{n-1}.
1225x^{49-1}
Multiply 49 times 25.
1225x^{48}
Subtract 1 from 49.
25x^{49}
To multiply powers of the same base, add their exponents. Add 48 and 1 to get 49.