Answer:
Evaluate: 8c - 11
Differentiate w.r.t. c: 8
Step-by-step 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.
[tex]\frac{d}{dc}[/tex](8c -4 - 7)
Subtract 7 from −4 to get −11.
[tex]\frac{d}{dc}[/tex](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 [tex]ax^{n}[/tex] is [tex]nax^{n-1}[/tex]
8[tex]c^{1-1}[/tex]
Subtract 1 from 1.
8[tex]c^{0}[/tex]
For any term t except 0, [tex]t^{0}[/tex] = 1
8 × 1
For any term t, t × 1 = t and 1t = t.
8
