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Evaluate
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Differentiate w.r.t. x
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\frac{6y\times 8x^{4}}{9x^{2}\times 7y^{2}}
Divide \frac{6y}{9x^{2}} by \frac{7y^{2}}{8x^{4}} by multiplying \frac{6y}{9x^{2}} by the reciprocal of \frac{7y^{2}}{8x^{4}}.
\frac{2\times 8x^{2}}{3\times 7y}
Cancel out 3yx^{2} in both numerator and denominator.
\frac{16x^{2}}{3\times 7y}
Multiply 2 and 8 to get 16.
\frac{16x^{2}}{21y}
Multiply 3 and 7 to get 21.