y = 4x^3 - 5/x^2 Find dy/dx

y = 4x^3 - 5/x^2 Easier to differentiate the 2nd term if it isn't written as a fraction so first rewrite y: y = 4x^3 - 5x^(-2) Then differentiate each term by multiplying each term by the current power of x and then decreasing the power of x by 1 to get dy/dx = (4)(3)x^2 + (-5)(-2)x^(-3) = 12x^2 + 10x^(-3)

NC
Answered by Nisha C. Maths tutor

9654 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate 8x^4 + 2x^2 + 10


Find the angle between two lines with vector equations r1 = (2i+j+k)+t(3i-5j-k) and r2 = (7i+4j+k)+s(2i+j-9k)


Given that Y=(x+3)(x+5); find dy/dx


How do you integrate the natural logarithm ln(x)?


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