Solve =1*k1-001varepsilon

$$= 1 \cdot k 1 - 001 \varepsilon$$

Evaluate

$$k_{1}$$

Solution Steps

Multiply 0 and 0 to get 0.

$$1k_{1}-0\times 1\epsilon$$

Multiply 0 and 1 to get 0.

$$1k_{1}-0\epsilon$$

Anything times zero gives zero.

$$1k_{1}-0$$

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

$$k_{1}-0$$

Differentiate w.r.t. k_1

$$1$$

Steps Using Definition of a Derivative

Multiply 0 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}k_{1}}(1k_{1}-0\times 1\epsilon )$$

Multiply 0 and 1 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}k_{1}}(1k_{1}-0\epsilon )$$

Anything times zero gives zero.

$$\frac{\mathrm{d}}{\mathrm{d}k_{1}}(1k_{1}-0)$$

Multiply -1 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}k_{1}}(1k_{1}+0)$$

Anything plus zero gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}k_{1}}(1k_{1})$$

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

$$k_{1}^{1-1}$$

Subtract 1 from 1.

$$k_{1}^{0}$$

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

$$1$$