48.6k views
1 vote
Find the derivative of f(x)=6x-8
Show your work.

User Inon
by
7.9k points

1 Answer

1 vote

Answer:
(d)/(dx) f(x) = 6

So, lets assume that we are taking derivative with respect to x:

f(x) = (6x - 8)


(d)/(dx) f(x) =
(d)/(dx) (6 - 8)

Lets take the derivative of the sum term by term:


(d)/(dx) f(x) =
(d)/(dx) (6 - 8)


(d)/(dx) f(x) =
(d)/(dx) (6x) +
(d)/(dx) (-8)

Now we need to factor out the constant:


(d)/(dx) f(x) =
(d)/(dx) (6x) +
(d)/(dx) (-8)


(d)/(dx) f(x) = 6
(d)/(dx) x +
(d)/(dx) (-8)

Let's find the derivative of a variable with respect to itself is 1:


(d)/(dx) f(x) = 6
(d)/(dx) x +
(d)/(dx) (-8)


(d)/(dx) f(x) = 6 * 1 +
(d)/(dx) (-8)

Now we multiply the numbers:


(d)/(dx) f(x) = 6 * 1 +
(d)/(dx) (-8)


(d)/(dx) f(x) = 6 +
(d)/(dx) (-8)

Now we find that the derivative of a constant is zero, so:


(d)/(dx) f(x) = 6 +
(d)/(dx) (-8)


(d)/(dx) f(x) = 6 + 0

Now we add the numbers:


(d)/(dx) f(x) = 6 + 0


(d)/(dx) f(x) = 6

The final and correct answer is
(d)/(dx) f(x) = 6

User Jes Chergui
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.