Solve d+005d

$$d + 005 d$$

Evaluate

$$d$$

Solution Steps

Multiply 0 and 0 to get 0.

$$d+0\times 5d$$

Multiply 0 and 5 to get 0.

$$d+0d$$

Anything times zero gives zero.

$$d+0$$

Anything plus zero gives itself.

$$d$$

Differentiate w.r.t. d

$$1$$

Steps Using Definition of a Derivative

Multiply 0 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}d}(d+0\times 5d)$$

Multiply 0 and 5 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}d}(d+0d)$$

Anything times zero gives zero.

$$\frac{\mathrm{d}}{\mathrm{d}d}(d+0)$$

Anything plus zero gives itself.

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

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.

$$1$$