How do you differentiate y= ln e^(6x+1)? Calculus Basic Differentiation Rules Chain Rule 1 Answer Ratnaker Mehta Aug 1, 2016 dy/dx=6. Explanation: y=lne^(6x+1). But, lne^t=tlne=t*1=t. So, y=6x+1. :. dy/dx=6. Answer link Related questions What is the Chain Rule for derivatives? How do you find the derivative of y= 6cos(x^2) ? How do you find the derivative of y=6 cos(x^3+3) ? How do you find the derivative of y=e^(x^2) ? How do you find the derivative of y=ln(sin(x)) ? How do you find the derivative of y=ln(e^x+3) ? How do you find the derivative of y=tan(5x) ? How do you find the derivative of y= (4x-x^2)^10 ? How do you find the derivative of y= (x^2+3x+5)^(1/4) ? How do you find the derivative of y= ((1+x)/(1-x))^3 ? See all questions in Chain Rule Impact of this question 1465 views around the world You can reuse this answer Creative Commons License