Question

Please show your work

Answer 1

Evaluate: 8c - 11

Differentiate w.r.t. c: 8

Explanation:

Evaluate:

6c − 4 + 2c − 7

Combine 6c and 2c to get 8c.

8c - 4 - 7

Subtract 7 from −4 to get −11.

8c - 11

Differentiate w.r.t. c:

6c - 4 + 2c - 7

Combine 6c and 2c to get 8c.

`(d)/(dc)`(8c -4 - 7)

Subtract 7 from −4 to get −11.

`(d)/(dc)`(8c - 11)

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of
`ax^(n)` is
`nax^(n-1)`

8
`c^(1-1)`

Subtract 1 from 1.

8
`c^(0)`

For any term t except 0,
`t^(0)` = 1

8 × 1

For any term t, t × 1 = t and 1t = t.

8