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

Answered by George L. Maths tutor

3387 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do I calculate the eigenvalues and eigenvectors of a 2x2 matrix, and what is the point of doing this calculation?


Find the gradient of 4(8x+2)^4 at X coordinate 2


Solving Quadratic Equations


Expand and simplify (3 + 4*root5)(3 - 2*root5)


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences