Earth is being added to a pile so that, when the height of the pile is h metres, its volume is V cubic metres, where V = (h6 + 16) 1 2 − 4.Find the value of dV/dh when h = 2.

As V=(h6+16)1/2 -4, the chain rule can be used to calculate dV/dh.

dV/dh=3h5(h6+16)-1/2

h=2 can be substituted in to find the solution.

325(26+16)-1/2=10.73

LK
Answered by Lewis K. Maths tutor

6056 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Integrate a^x with respect to x


How would I differentiate something in the form of (ax+b)^n


Given the function f(x) = (x^2)sin(x), find f'(x).


Given y=2x(x^2-1)^5, show that dy/dx = g(x)(x^2-1)^4 where g(x) is a function to be determined.


We're here to help

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

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning