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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(-4x^{10})
To multiply powers of the same base, add their exponents. Add 1 and 9 to get 10.
10\left(-4\right)x^{10-1}
The derivative of ax^{n} is nax^{n-1}.
-40x^{10-1}
Multiply 10 times -4.
-40x^{9}
Subtract 1 from 10.
-4x^{10}
To multiply powers of the same base, add their exponents. Add 1 and 9 to get 10.