Try another version of this question
Let ` y = 4 x^2 + 4 x + 2 `.
Find the differential ` dy ` when ` x= 5 ` and ` dx = 0.1 `
Find the differential ` dy ` when ` x= 5 ` and ` dx = 0.2 `
First, you need to find the derivative of the given quadratic function. Then, evaluate this derivative at the given `x`-value. Finally, multiply the result by the given `dx` value. Remember, the differential represents the approximate change in `y` for a small change in `x`.
Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
4.4
Box 2: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
8.8