Fraction $\frac{1}{-3}$ can be rewritten as $-\frac{1}{3}$ by extracting the negative sign.
$$-\frac{1}{3}+\frac{1}{1-1-m+1}$$
Subtract $1$ from $1$ to get $0$.
$$-\frac{1}{3}+\frac{1}{-m+1}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $3$ and $-m+1$ is $3\left(-m+1\right)$. Multiply $-\frac{1}{3}$ times $\frac{-m+1}{-m+1}$. Multiply $\frac{1}{-m+1}$ times $\frac{3}{3}$.
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $3$ and $-m+1$ is $3\left(-m+1\right)$. Multiply $-\frac{1}{3}$ times $\frac{-m+1}{-m+1}$. Multiply $\frac{1}{-m+1}$ times $\frac{3}{3}$.
For any two differentiable functions, the derivative of the quotient of two functions is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the denominator squared.
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is $0$. The derivative of $ax^{n}$ is $nax^{n-1}$.
