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Differentiate w.r.t. c
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134+\frac{a^{2}-2a+1}{\left(a-1\right)c}
Divide \frac{1}{a-1} by \frac{c}{a^{2}-2a+1} by multiplying \frac{1}{a-1} by the reciprocal of \frac{c}{a^{2}-2a+1}.
134+\frac{\left(a-1\right)^{2}}{c\left(a-1\right)}
Factor the expressions that are not already factored in \frac{a^{2}-2a+1}{\left(a-1\right)c}.
134+\frac{a-1}{c}
Cancel out a-1 in both numerator and denominator.
\frac{134c}{c}+\frac{a-1}{c}
To add or subtract expressions, expand them to make their denominators the same. Multiply 134 times \frac{c}{c}.
\frac{134c+a-1}{c}
Since \frac{134c}{c} and \frac{a-1}{c} have the same denominator, add them by adding their numerators.