Given that: y = 5x^3 + 7x + 3. What is dy/dx? What is d^2y/dx^2?

Firslty, the common rule when differentiating is nxm has the derivative of (n)(m)xm-1.

Therefore applying this rule to each individual component of the function:

dy/dx=(5)(3)x3-1+(7)(1)x1-1+(3)(0)

=(15)x2+7x0+0

=15x2+7

To find out d2y/dx2 we simply follow this rule again for the first derivative of the function (dy/dx).

d2y/dx2=(15)(2)x2-1+7(0)

=30x

Answered by Monty E. Maths tutor

5938 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

a) Point A(6,7,2) lies on l1. Point B(9,16,5) also lies on l1. Find the distance between these two points. b) l2 lies in the same z plane as l1 and crosses l1 at A and is perpendicular to l1. Express l2 in vector form.


How do you know how many roots a quadratic equation has?


Find the derivative for y=5x^3-2x^2+7x-15


f(x) = (4x + 1)/(x - 2) with x > 2. Find a value for 'x' such that f'(x) (first derivative of f(x) with respect to x) is equal to -1.


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