Solve 10/2t+1+C

$$\frac { 10 } { 2 t + 1 } + C$$

Evaluate

$$\frac{2Ct+C+10}{2t+1}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply C times \frac{2t+1}{2t+1}.

$$\frac{10}{2t+1}+\frac{C\left(2t+1\right)}{2t+1}$$

Since \frac{10}{2t+1} and \frac{C\left(2t+1\right)}{2t+1} have the same denominator, add them by adding their numerators.

$$\frac{10+C\left(2t+1\right)}{2t+1}$$

Do the multiplications in 10+C\left(2t+1\right).

$$\frac{10+2Ct+C}{2t+1}$$

Differentiate w.r.t. C

$$1$$