Solve 11/2(L)13/13

$$\frac { 11 } { 2 } ( L ) \frac { 13 } { 13 }$$

Evaluate

$$\frac{11L}{2}$$

Solution Steps

Divide 13 by 13 to get 1.

$$\frac{11}{2}L\times 1$$

Multiply \frac{11}{2} and 1 to get \frac{11}{2}.

$$\frac{11}{2}L$$

Differentiate w.r.t. L

$$\frac{11}{2} = 5\frac{1}{2} = 5.5$$

Steps Using Definition of a Derivative

The derivative of ax^{n} is nax^{n-1}.

$$\frac{11}{2}L^{1-1}$$

Subtract 1 from 1.

$$\frac{11}{2}L^{0}$$

For any term t except 0, t^{0}=1.

$$\frac{11}{2}\times 1$$

For any term t, t\times 1=t and 1t=t.

$$\frac{11}{2}$$