V vnsin New member Joined Oct 28, 2009 Messages 1 Oct 28, 2009 #1 The question asks If f(X) = x+2e^x, find the value of g'(1+2e), where g(x) = inverse of f(x) for all x I have no idea where to start. I tried to find the inverse of f(x) but that only led to x=y+2e^y and I'm stuck there. Please help.
The question asks If f(X) = x+2e^x, find the value of g'(1+2e), where g(x) = inverse of f(x) for all x I have no idea where to start. I tried to find the inverse of f(x) but that only led to x=y+2e^y and I'm stuck there. Please help.
D Deleted member 4993 Guest Oct 28, 2009 #2 vnsin said: The question asks If f(X) = x+2e^x, find the value of g'(1+2e), where g(x) = inverse of f(x) for all x I have no idea where to start. I tried to find the inverse of f(x) but that only led to x=y+2e^y and I'm stuck there. Please help. Click to expand... The 'y' in the inverse function is 'g'. then you have x = g + 2e^g By observation, at x = 1 + 2e ? g = 1 or g(1+2e) = 1 1 = g' + 2*g' * e^g = g' * (1+2e^g) g' = 1/(1+ 2e^g) Now continue....
vnsin said: The question asks If f(X) = x+2e^x, find the value of g'(1+2e), where g(x) = inverse of f(x) for all x I have no idea where to start. I tried to find the inverse of f(x) but that only led to x=y+2e^y and I'm stuck there. Please help. Click to expand... The 'y' in the inverse function is 'g'. then you have x = g + 2e^g By observation, at x = 1 + 2e ? g = 1 or g(1+2e) = 1 1 = g' + 2*g' * e^g = g' * (1+2e^g) g' = 1/(1+ 2e^g) Now continue....
