Differentiate ln(x^3 +2) with respect to x

The differential of ln(x) is x^-1 or 1/x. Because we have x^3 + 2 inside the bracket we have to differentiate this term also and multiply this with the other term. For example, d/dx of x^3 +2 is equal to 3x^2. Following on from previously we differentiate ln(x^3 + 2) we get 1/(x^3 + 2). However this isn't complete as we need to multiply the differential of the bracket with this new term, giving us (3x^2)/(x^3 + 2) as our overall differential

GL
Answered by George L. Maths tutor

3696 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the turning point of the line y = -2x^2 +5x -9


A curve has the equation y = x^4 - 8x^2 + 60x + 7. What is the gradient of the curve when x = 6?


Express 2 cos x – sin x in the form Rcos( x + a ), where R and a are constants, R > 0 and a is between 0 and 90 ° Give the exact value of R and give the value of to 2 decimal places.


The line PQ is the diameter of a circle, where points P and Q have the coordinates (4,7) and (-8,3) respectively. Find the equation of the circle.


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