Evaluate
-\frac{5a^{2}x^{3}y^{8}}{27}
Differentiate w.r.t. x
-\frac{5\left(ax\right)^{2}y^{8}}{9}
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\frac{5}{6}y^{8}\left(-\frac{2}{9}\right)a^{2}x^{3}
To multiply powers of the same base, add their exponents. Add 6 and 2 to get 8.
-\frac{5}{27}y^{8}a^{2}x^{3}
Multiply \frac{5}{6} and -\frac{2}{9} to get -\frac{5}{27}.
Examples
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y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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