Solve 4:6M11:15

$$4 : 6 M 11 : 15$$

Evaluate

$$\frac{2M_{11}}{45}$$

Solution Steps

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{2}{3}M_{11}}{15}$$

Divide \frac{2}{3}M_{11} by 15 to get \frac{2}{45}M_{11}.

$$\frac{2}{45}M_{11}$$

Differentiate w.r.t. M_11

$$\frac{2}{45} = 0.044444444444444446$$

Steps Using Definition of a Derivative

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{\mathrm{d}}{\mathrm{d}M_{11}}(\frac{\frac{2}{3}M_{11}}{15})$$

Divide \frac{2}{3}M_{11} by 15 to get \frac{2}{45}M_{11}.

$$\frac{\mathrm{d}}{\mathrm{d}M_{11}}(\frac{2}{45}M_{11})$$

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

$$\frac{2}{45}M_{11}^{1-1}$$

Subtract 1 from 1.

$$\frac{2}{45}M_{11}^{0}$$

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

$$\frac{2}{45}\times 1$$

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

$$\frac{2}{45}$$