Oct 17, 2009 · Homework Statement What is the derivative of ln(2x)? I was just thinking about this, and I got 2 answers. I am in Calc 2 right now. Homework Equations Derivative of ln(x) = 1/x The Attempt at a Solution Since d/dx lna = (1/a)*(derivative of a) Thus d/dx ln2x = (1/2x)*(2)...

Apr 3, 2016 · How do you find the derivative of #y=(ln2x)^2#? Calculus Basic Differentiation Rules Chain Rule. 1 Answer

Feb 3, 2015 · The answer is: y'=1/(xlnx) The rule of derivative of function of function says: y=f(g(x))rArry'=f'(g(x))*g'(x).

Nov 2, 2016 · It requires several application of the chain rule, which I will do implicity: # d/dx{e^((ln2x)^2+x)} = d/dx{{ln2x)^2+x}e^((ln2x)^2+x) #

Jul 12, 2016 · How do you integrate #int ln 2x^2 dx # using integration by parts? Calculus Techniques of Integration Integration by Parts. 1 Answer

Apr 11, 2016 · x=8.614, rounded to three decimal places. To solve lnx=5-ln2x, for x Rearranging to bring all terms containing x to left hand side of the equation we obtain lnx+ln2x=5 Using the property of logarithms that log (axxb)=loga+log b we obtain ln(x xx 2x)=5 or ln2 x^2=5 Using the definition of log functions we obtain e^5=2x^2, solving for x x=+-sqrt(e^5/2), ignoring the -ve sign as logarithms of a ...

Feb 29, 2012 · In summary, the integral of [(3-ln2x)^3]/2x is equal to -1/16 * (3-ln2x)^4 + C, with the correct use of the chain rule and fixing the mistake with the 4th power.

Jun 1, 2016 · f'(x)=(2sin(4x))/2x + 4cos(4x)ln2x The product rule says you take the derivative of your first function and multiply it by the second and add it to the product of the derivative of your second function and your original first function. We start with taking the first derivative of function ln2x, which is 2/2x(don't forget to chain rule). we then multiply this …

Mar 17, 2018 · we need to use the product rule. #d/(dx)(color(red)(u)v)=vcolor(red)((du)/(dx))+color(red)(u)(dv)/(dx)# …

Apr 15, 2018 · How do you differentiate #f(x)=ln2x * sin3x# using the product rule? Calculus Basic Differentiation Rules Product Rule. 1 Answer