Evaluate
-3y^{2}x^{3}
Differentiate w.r.t. x
-9\left(xy\right)^{2}
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9^{1}x^{1}y^{1}\left(-\frac{1}{3}\right)^{1}x^{2}y^{1}
Use the rules of exponents to simplify the expression.
9^{1}\left(-\frac{1}{3}\right)^{1}x^{1}x^{2}y^{1}y^{1}
Use the Commutative Property of Multiplication.
9^{1}\left(-\frac{1}{3}\right)^{1}x^{1+2}y^{1+1}
To multiply powers of the same base, add their exponents.
9^{1}\left(-\frac{1}{3}\right)^{1}x^{3}y^{1+1}
Add the exponents 1 and 2.
9^{1}\left(-\frac{1}{3}\right)^{1}x^{3}y^{2}
Add the exponents 1 and 1.
-3x^{3}y^{2}
Multiply 9 times -\frac{1}{3}.
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Limits
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