Differentiate with respect to x: y=(6x^2-1)/2sqrt(x)

1st Step: Must separate the fractions and simplify:

y= (6x2-1)/2sqrt(x)= 6x2/(2x1/2) - 1/(2x1/2

Cancel 6 with 2 and xwith x1/2 => y= 3x3/2 - x-1/2/2

2nd Step: Differentiate:

dy/dx= (9/2)x1/2 + (1/4)x-3/2

ES
Answered by Elena S. Maths tutor

8306 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Simplify (5-2√3)/(√3-1) giving your answer in the form p +q√3, where p and q are rational numbers


Integrate x^2e^x with respect to x between the limits of x=5 and x=0.


Two lines have equations r_1=(1,-1,2)+a(-1,3,4) and r_2=(c,-4,0)+b(0,3,2). If the lines intersect find c:


Prove algebraically that the sum of the squares of two consecutive multiples of 5 is not a multiple of 10.


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