Answer:
h=3
Explanation:
To find the value of h at x = -1, we need to differentiate the function y = x^2 + 2xh with respect to x and equate it to 4. Let's start by taking the derivative:
dy/dx = d/dx (x^2 + 2xh)
Using the power rule of differentiation, we get:
dy/dx = 2x + 2h
Now, we know that the derivative is given as 4, so we can set it equal to 4 and solve for h:
2x + 2h = 4
Since we want to find h at x = -1, we substitute -1 for x:
2(-1) + 2h = 4
Simplifying the equation:
-2 + 2h = 4
Now, let's isolate h by moving -2 to the other side:
2h = 4 + 2
2h = 6
Dividing both sides by 2:
h = 6/2
h = 3
Therefore, when x = -1, the value of h is 3.