use the table below to find d/dx1.2g(x)|x = 2. x 1 2 3 4 5 f(x) 2 5 4 3 1 g(x) 1 2 3 5 4 d/dx1.2g(x)|x = 2 =…

use the table below to find d/dx1.2g(x)|x = 2. x 1 2 3 4 5 f(x) 2 5 4 3 1 g(x) 1 2 3 5 4 d/dx1.2g(x)|x = 2 = (type an integer or a decimal.)

use the table below to find d/dx1.2g(x)|x = 2. x 1 2 3 4 5 f(x) 2 5 4 3 1 g(x) 1 2 3 5 4 d/dx1.2g(x)|x = 2 = (type an integer or a decimal.)

Answer

Answer:

2.4

Explanation:

Step1: Apply constant - multiple rule

The constant - multiple rule of differentiation states that if (y = cf(x)), then (y'=cf'(x)), where (c) is a constant. Here (c = 1.2) and (y = 1.2g(x)), so (\frac{d}{dx}[1.2g(x)]=1.2g'(x)).

Step2: Evaluate at (x = 2)

We need to find the value of (\frac{d}{dx}[1.2g(x)]) at (x = 2). Substitute (x = 2) into (1.2g'(x)). From the table, (g'(2)=2). Then (1.2g'(2)=1.2\times2 = 2.4).