Evaluate
\frac{2xy+35x+5}{y\left(7x+1\right)}
Differentiate w.r.t. x
\frac{2}{\left(7x+1\right)^{2}}
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\frac{2xy}{y\left(7x+1\right)}+\frac{5\left(7x+1\right)}{y\left(7x+1\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 7x+1 and y is y\left(7x+1\right). Multiply \frac{2x}{7x+1} times \frac{y}{y}. Multiply \frac{5}{y} times \frac{7x+1}{7x+1}.
\frac{2xy+5\left(7x+1\right)}{y\left(7x+1\right)}
Since \frac{2xy}{y\left(7x+1\right)} and \frac{5\left(7x+1\right)}{y\left(7x+1\right)} have the same denominator, add them by adding their numerators.
\frac{2xy+35x+5}{y\left(7x+1\right)}
Do the multiplications in 2xy+5\left(7x+1\right).
\frac{2xy+35x+5}{7xy+y}
Expand y\left(7x+1\right).
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