Solve S_{12}(36)*2

$$S _ { 12 } ( 36 ) \times 2$$

Differentiate w.r.t. S_12

$$72$$

Steps Using Definition of a Derivative

Multiply 36 and 2 to get 72.

$$\frac{\mathrm{d}}{\mathrm{d}S_{12}}(S_{12}\times 72)$$

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

$$72S_{12}^{1-1}$$

Subtract 1 from 1.

$$72S_{12}^{0}$$

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

$$72\times 1$$

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

$$72$$

Evaluate

$$72S_{12}$$

Solution Steps

Multiply 36 and 2 to get 72.

$$S_{12}\times 72$$