Solve 72/360*Omega*(6)

$$\frac { 72 } { 360 } \times \Omega \times ( 6 )$$

Evaluate

$$\frac{6\Omega }{5}$$

Solution Steps

Reduce the fraction \frac{72}{360} to lowest terms by extracting and canceling out 72.

$$\frac{1}{5}\Omega \times 6$$

Multiply \frac{1}{5} and 6 to get \frac{6}{5}.

$$\frac{6}{5}\Omega$$

Differentiate w.r.t. Ω

$$\frac{6}{5} = 1\frac{1}{5} = 1.2$$

Steps Using Definition of a Derivative

Reduce the fraction \frac{72}{360} to lowest terms by extracting and canceling out 72.

$$\frac{\mathrm{d}}{\mathrm{d}\Omega }(\frac{1}{5}\Omega \times 6)$$

Multiply \frac{1}{5} and 6 to get \frac{6}{5}.

$$\frac{\mathrm{d}}{\mathrm{d}\Omega }(\frac{6}{5}\Omega )$$

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

$$\frac{6}{5}\Omega ^{1-1}$$

Subtract 1 from 1.

$$\frac{6}{5}\Omega ^{0}$$

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

$$\frac{6}{5}\times 1$$

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

$$\frac{6}{5}$$