Question

2. Provide an appropriate response.

Find f"(x) for f(x) = 4x - 6.

A. f''(x) = 4 B. f''(x)=4/x C. f''(x)=4x^3 - 6x^2 D.f''(x) = 0

Answer 1

Answer: Option 'D' is correct.

Explanation:

Since we have given that

`f(x)=4x-6\\`

We need to find the double derivative i.e. f''(x).

So, we first derivate the f(x) w.r.t. x:

`f(x)=4x-6\\\\f'(x)=4`

Now, we again derivative the f'(x) w.r.t x :

`f''(x)=0`

(Because f'(x) has no term with variable x)

Hence, Option 'D' is correct.