Given that y = 5x^4 + 3x^3 + 2x + 5, find dy/dx

We’re being asked to differentiate the function with respect to x. To do so, we use the general formula for differentiation, which is:‘If y = kxn, dy/dx = nkx(n-1)We must also note that, which differentiation, the constants ‘vanish’. Therefore doing so, we find that:dy/dx = 20x^3 + 9x^2 + 2.

HP
Answered by Harry P. Maths tutor

3546 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Integrate | x^7 (ln x)^2 dx ( | used in place of sigma throughout question)


How do you differentiate X to the power of a?


Let w, z be complex numbers. Show that |wz|=|w||z|, and using the fact that x=|x|e^{arg(x)i}, show further that arg(wz)=arg(w)+arg(z) where |.| is the absolute value and arg(.) is the angle (in polar coordinates). Hence, find all solutions to x^n=1 .


A stone, of mass m, falls vertically downwards under gravity through still water. At time t, the stone has speed v and it experiences a resistance force of magnitude lmv, where l is a constant.


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:

© 2026 by IXL Learning