Solve 2/1+t*1/1+2

$$\frac { 2 } { 1 + t } \cdot \frac { 1 } { 1 + 2 }$$

Evaluate

$$\frac{2}{3\left(t+1\right)}$$

Solution Steps

Add 1 and 2 to get 3.

$$\frac{2}{1+t}\times \frac{1}{3}$$

Multiply \frac{2}{1+t} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{\left(1+t\right)\times 3}$$

Use the distributive property to multiply 1+t by 3.

$$\frac{2}{3+3t}$$

Differentiate w.r.t. t

$$-\frac{2}{3\left(t+1\right)^{2}}$$