Evaluate
6x^{2}y^{3}
Differentiate w.r.t. x
12xy^{3}
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2^{1}x^{1}y^{2}\times 3^{1}x^{1}y^{1}
Use the rules of exponents to simplify the expression.
2^{1}\times 3^{1}x^{1}x^{1}y^{2}y^{1}
Use the Commutative Property of Multiplication.
2^{1}\times 3^{1}x^{1+1}y^{2+1}
To multiply powers of the same base, add their exponents.
2^{1}\times 3^{1}x^{2}y^{2+1}
Add the exponents 1 and 1.
2^{1}\times 3^{1}x^{2}y^{3}
Add the exponents 2 and 1.
6x^{2}y^{3}
Multiply 2 times 3.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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