Y = 5x + 25. Find its inverse function then find the derivative
To find the inverse function, we first swap the x and y variables and then solve for y:
x = 5y + 25
x - 25 = 5y
y = (x - 25)/5
Therefore, the inverse function is y = (x - 25)/5.
To find the derivative of the inverse function, we differentiate the inverse function with respect to x:
dy/dx = (1/5)
So, the derivative of the inverse function y = (x - 25)/5 is dy/dx = 1/5.