#### To determine

**To find:** The derivative of the function B(y)=cy−6.

#### Answer

The derivative of the function B(y)=cy−6 is −6cy−7_.

#### Explanation

**Given:**

The function, B(y)=cy−6.

Where, *c* is a constant.

**Formula used:**

**The Constant Multiple Rule:**

If *c* is a constant and f(y) is a differentiable function, then the constant multiple rule is,

ddy[c⋅f(y)]=c⋅ddyf(y) (1)

**The Power Rule:**

If *n* is any real number, then the power rule is,

ddy(yn)=nyn−1 (2)

**Calculation:**

The derivative of B(y)=cy−6 is B′(y) as follows.

B′(y)=ddy[B(y)]=ddy(cy−6)

Apply the constant multiple rule as shown in equation (1).

B′(y)=cddy(y−6)

Apply the power rule as shown in equation (2).

B′(y)=c⋅−6⋅y−6−1=−6cy−7

Therefore, the derivative of the function B(y)=cy−6 is −6cy−7_.