Evaluate
\frac{7}{6n\left(4n-3\right)\left(n+3\right)}
Differentiate w.r.t. n
-\frac{7\left(\left(4n+3\right)^{2}-21\right)}{8\left(n\left(4n-3\right)\left(n+3\right)\right)^{2}}
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\frac{7}{\left(n+3\right)\left(24n^{2}-18n\right)}
Express \frac{\frac{7}{n+3}}{24n^{2}-18n} as a single fraction.
\frac{7}{24n^{3}+54n^{2}-54n}
Use the distributive property to multiply n+3 by 24n^{2}-18n and combine like terms.
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y = 3x + 4
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\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
\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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