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Evaluate
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Differentiate w.r.t. x
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\frac{1}{3}x^{3}x
Divide 15x^{3} by 45 to get \frac{1}{3}x^{3}.
\frac{1}{3}x^{4}
To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{3}x^{3}x)
Divide 15x^{3} by 45 to get \frac{1}{3}x^{3}.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{3}x^{4})
To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.
4\times \frac{1}{3}x^{4-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{4}{3}x^{4-1}
Multiply 4 times \frac{1}{3}.
\frac{4}{3}x^{3}
Subtract 1 from 4.