We know how to differentiate ln(x) (the answer is 1/x) This means the chain rule will allow us to perform the differentiation of the function ln(4x) To perform the differentiation, the chain rule says we must differentiate the expression as if it were just in terms of x as long as we then multiply that result by the derivative of what the expression was actually in terms of (in this and so y = lnu ⇒ dy du = 1 u substitute these values into (A) changing u back to terms of x ⇒ dy dx = 1 u (2x) = 2x 1 x2 Answer linkE y = x Then base e logarithm of x is ln(x) = log e (x) = y The e constant or Euler's number is e ≈ Ln as inverse function of exponential function The natural logarithm function ln(x) is the inverse function of the exponential function e x For x>0, f (f 1 (x)) = e ln(x) = x Or f 1 (f (x)) = ln(e x) = x Natural
Derivative Calculator Wolfram Alpha
