Solve d(1+l)-d(1)/l=

$$\frac { d ( 1 + l ) - d ( 1 ) } { l } =$$

Evaluate

$$d$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{dl}{l}$$

Cancel out l in both numerator and denominator.

$$d$$

Differentiate w.r.t. d

$$1$$

Steps Using Definition of a Derivative

Factor the expressions that are not already factored in \frac{d\left(1+l\right)-d\times 1}{l}.

$$\frac{\mathrm{d}}{\mathrm{d}d}(\frac{dl}{l})$$

Cancel out l in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}d}(d)$$

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

$$d^{1-1}$$

Subtract 1 from 1.

$$d^{0}$$

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

$$1$$