Differentiate, with respect to x, e^3x + ln 2x,

e^3x differentiates to 3e^3x as you multiply the function e^3x by the derivative of the inside function 3x. 3x differentiates to 3, so the answer is 3 multiplied by e^3x. The derivative of a natural log function is the multiplication of the derivative of the inside function which 1/x. In this case, 2x differentiates to 2, so the answer is 2 multiplied by 1/x = 2/x.
So the answer is 3e^3x + 2/x.

PA
Answered by Pelumi A. Maths tutor

11453 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The curve C has the equation y=3x/(9+x^2 ) (a) Find the turning points of the curve C (b) Using the fact that (d^2 y)/(dx^2 )=(6x(x^2-27))/(x^2+9)^3 or otherwise, classify the nature of each turning point of C


Find the inverse of f(x) = (3x - 6)/2


(19x - 2)/((5 - x)(1 + 6x)) can be expressed as A/(5-x) + B/(1+6x) where A and B are integers. Find A and B


integrate by parts the equation dy/dx = (3x-4)(2x^2+5).


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences