Solve -01x-y-05

$$-01x-y-05$$

Evaluate

$$-y$$

Solution Steps

Multiply 0 and 1 to get 0.

$$0x-y-0\times 5$$

Anything times zero gives zero.

$$0-y-0\times 5$$

Anything plus zero gives itself.

$$-y-0\times 5$$

Multiply 0 and 5 to get 0.

$$-y-0$$

Differentiate w.r.t. y

$$-1$$

Steps Using Definition of a Derivative

Multiply 0 and 1 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}y}(0x-y-0\times 5)$$

Anything times zero gives zero.

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

Anything plus zero gives itself.

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

Multiply 0 and 5 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-y-0)$$

Multiply -1 and 0 to get 0.

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

Anything plus zero gives itself.

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

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

$$-y^{1-1}$$

Subtract 1 from 1.

$$-y^{0}$$

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

$$-1$$