Solve 6div44/Omega=

$$6 \div \frac { 44 } { \Omega } =$$

Evaluate

$$\frac{3\Omega }{22}$$

Solution Steps

Divide 6 by \frac{44}{\Omega } by multiplying 6 by the reciprocal of \frac{44}{\Omega }.

$$\frac{6\Omega }{44}$$

Divide 6\Omega by 44 to get \frac{3}{22}\Omega .

$$\frac{3}{22}\Omega$$

Differentiate w.r.t. Ω

$$\frac{3}{22} = 0.13636363636363635$$

Steps Using Definition of a Derivative

Divide 6 by \frac{44}{\Omega } by multiplying 6 by the reciprocal of \frac{44}{\Omega }.

$$\frac{\mathrm{d}}{\mathrm{d}\Omega }(\frac{6\Omega }{44})$$

Divide 6\Omega by 44 to get \frac{3}{22}\Omega .

$$\frac{\mathrm{d}}{\mathrm{d}\Omega }(\frac{3}{22}\Omega )$$

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

$$\frac{3}{22}\Omega ^{1-1}$$

Subtract 1 from 1.

$$\frac{3}{22}\Omega ^{0}$$

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

$$\frac{3}{22}\times 1$$

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

$$\frac{3}{22}$$