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Evaluate
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Differentiate w.r.t. w
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w^{1}w^{1}w^{1}
Use the rules of exponents to simplify the expression.
w^{1+1+1}
Use the Multiplication Rule for Exponents.
w^{2+1}
Add the exponents 1 and 1.
w^{3}
Add the exponents 2 and 1.
\frac{\mathrm{d}}{\mathrm{d}w}(w^{2}w)
Multiply w and w to get w^{2}.
\frac{\mathrm{d}}{\mathrm{d}w}(w^{3})
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
3w^{3-1}
The derivative of ax^{n} is nax^{n-1}.
3w^{2}
Subtract 1 from 3.