calculus
Find any relative extrema and any points of inflection if they exist of f(x)=x^2+ ln x^2 showing calculus. Please show work in detail so I can follow. Thanks. The answer is no relative max or min and the points of inflection are (1,1) and (-1,1) but I'm having trouble gett...
Calculus
Find the derivative of f(x)=ln(e^(2x)/((x^2-4)^3) Please show detail so I can use for reference. Thanks!
Calculus
Consider the function f(x) e^x-1/2x^2. Find all points of inflection if they exist. Please show sign graph and show work in detail so I can follow for future reference. Thanks.
Calculus
Consider the function f(x) = x - lnx. Find the intervals on which f(x) is increasing and the intervals where it is decreasing. Also determine any relative max or min.
Calculus
Find the anti derivative of the following: 1. u^-2(1-u^2+u^4)du 2. (sqrt(x)+ 3/x - 2e^(x))dx The anti derivative symbol is in front of the equations. Also need help on find f(x) so that it satisfies f'(x) = 1+e^x+1/x and f(1) = 3+e. Please show steps so I can understand. T...
Calculus
Find f(x) so that it satisfies: f'(x)=1+e^x+1/x and f(1)=3+e. Another tutor was kind enough to give me the anti deriv as x+e^x+ln x+c and that the constant is 2. But I can't figure how to prove it or where to start so I will know for the test. Thanks.
Calculus
Find the anti derivative of u^-2(1-u^2+u^4)du. Need steps so I can try to grasp this. Thanks. I couldn't figure out how to write the anti deriv. symbol but it is in front on the u^-2. Thanks
Calculus
Use logarithmic differentiation to find the derivative of f(x) = x^x+2 and simplify. Please show steps. Thanks.
Calculus
Find f(x) so that it satisfies: f'(x)=1+e^x+1/x and f(1) =3+e. Please show all steps so I can follow. Thanks.
Calculus
Find f(x) so that it satisfies: f'(x)=1/sqrt(x) and f(4)=2. Please show steps I keep getting stuck at the anti derivative and the constant doesn't solve it so I don't know where I went wrong.
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