Question

Suppose G(x) =2x^2+x+4. Find a number b such that G'(b)=7.

Answer 1

First, you need to differentiate G(x) with respect to x:
G'(x) = 4x+1

Then, you need to solve it for some input b which outputs 7:
7 = 4x+1
6 = 4x
x = 6/4 = 3/2 = 1.5

b = 1.5