Evaluate
\frac{4w^{3}v^{6}}{5x^{4}+3w^{3}}
w\neq -\frac{3^{\frac{2}{3}}\times \left(5x\right)^{\frac{4}{3}}}{15}\text{ and }w\neq 0
Differentiate w.r.t. x
-\frac{80v^{6}\left(wx\right)^{3}}{\left(5x^{4}+3w^{3}\right)^{2}}
w\neq -\frac{3^{\frac{2}{3}}\times \left(5x\right)^{\frac{4}{3}}}{15}\text{ and }w\neq 0
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Algebra
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\frac { 16 v ^ { 6 } w ^ { 4 } } { 12 w ^ { 4 } + 20 w x ^ { 4 } }
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\frac{16w^{4}v^{6}}{4w\left(5x^{4}+3w^{3}\right)}
Factor the expressions that are not already factored.
\frac{4w^{3}v^{6}}{5x^{4}+3w^{3}}
Cancel out 4w in both numerator and denominator.
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