Solve T/36000*24

$$\frac { T } { 36000 } \times 24$$

Differentiate w.r.t. T

$$\frac{1}{1500} = 0.0006666666666666666$$

Steps Using Definition of a Derivative

Cancel out 36000, the greatest common factor in 24 and 36000.

$$\frac{\mathrm{d}}{\mathrm{d}T}(\frac{T}{1500})$$

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

$$\frac{1}{1500}T^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{1500}T^{0}$$

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

$$\frac{1}{1500}\times 1$$

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

$$\frac{1}{1500}$$

Evaluate

$$\frac{T}{1500}$$

Solution Steps

Cancel out 36000, the greatest common factor in 24 and 36000.

$$\frac{T}{1500}$$