differentiate with respect to x. i). x^(1/2) ln (3x),

From this we can see that equation has 2 parts therefore we should look to using the product rule which is used to differiantiate a two functions multiplied together so (fg)'=f'g+fg'. In this question the differential of x^(1/2) is simply 1/2x^1/2 which can be rearranged using indices rules to 1/2x^1/2. Differentiating ln(3x) requires product rule in its own respect one can denote (3x) as U the ln(U) would simply be 1/U using ln then differential of u is 3. Therefore the differential on ln(3x) is 1/x simplified.
Overall the answer should ln(3x)/2x^(1/2) + 1/x^(1/2)

Answered by Jesse D. Maths tutor

5924 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Locate the position and the nature of any turning points in the function: 2x^3 - 9x^2 +12x


Make a the subject of 3(a+4) = ac+5f


Differentiate the function X^4 - (20/3)X^3 + 2X^2 + 7. Find the stationary points and classify.


Solve the equation 2log (base 3)(x) - log (base 3)(x+4) = 2


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences