Suppose the function `f(x)-f(2x)` has the derivative 5 at `x=1` and derivative `7a tx=2.` The derivative of the function `f(x)-f(4x)a tx=1` has the value equal to `19` (b) 9 (c) 17 (d) 14

Options

A. 19
B. 9
C. 17
D. 14

Explanation

To solve the problem, we need to find the derivative of the function \( f(x) - f(4x) \) at \( x = 1 \). We will use the information given about the derivatives of the function \( f(x) - f(2x) \) at specific points.

### Step 1: Define the functions
Let:
- \( y(x) = f(x) - f(2x) \)
- \( g(x) = f(x) - f(4x) \)

### Step 2: Differentiate \( y(x) \)
...