Solve 0056MS+680*Omega=

$$0056 MS + 680 \times \Omega =$$

Evaluate

$$680\Omega$$

Solution Steps

Multiply 0 and 0 to get 0.

$$0\times 56MS+680\Omega$$

Multiply 0 and 56 to get 0.

$$0MS+680\Omega$$

Anything times zero gives zero.

$$0+680\Omega$$

Anything plus zero gives itself.

$$680\Omega$$

Differentiate w.r.t. Ω

$$680$$

Steps Using Definition of a Derivative

Multiply 0 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}\Omega }(0\times 56MS+680\Omega )$$

Multiply 0 and 56 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}\Omega }(0MS+680\Omega )$$

Anything times zero gives zero.

$$\frac{\mathrm{d}}{\mathrm{d}\Omega }(0+680\Omega )$$

Anything plus zero gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}\Omega }(680\Omega )$$

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

$$680\Omega ^{1-1}$$

Subtract 1 from 1.

$$680\Omega ^{0}$$

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

$$680\times 1$$

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

$$680$$