Answer:
To find the differential of the function y = 1 + x, we can use the differential notation:
dy = f'(x) * dx
Where dy represents the differential of y, f'(x) represents the derivative of the function with respect to x, and dx represents the differential of x.
First, let's find the derivative of the function y = 1 + x with respect to x:
f'(x) = d/dx(1 + x) = 1
Now, we can write the differential:
dy = f'(x) * dx = 1 * dx = dx
Therefore, the differential of the function y = 1 + x is simply dx.
Explanation:
To find the differential of the function y = 1 + x, we can use the differential notation:
dy = f'(x) * dx
Where dy represents the differential of y, f'(x) represents the derivative of the function with respect to x, and dx represents the differential of x.
First, let's find the derivative of the function y = 1 + x with respect to x:
f'(x) = d/dx(1 + x) = 1
Now, we can write the differential:
dy = f'(x) * dx = 1 * dx = dx
Therefore, the differential of the function y = 1 + x is simply dx.