By first expanding the brackets, differentiate the equation: y=(4x^4 + 3x)(2x^2 - 9)

In this case the question has given you a clue as to the order that you solve the question. So, first we need to expand the brackets, multiplying each term by one another to get; y=8x^6 - 36x^4 + 6x^3 - 27x.
We then need to differentiate the equation we have found by multiplying each coefficient of x by the power of each x term, so 6x^2 and then subtracting 1 from each power of x. For example 6x^3 would become 18x^2 (6 x 3 =18, 3 - 1=2)
We then reach the final answer of dy/dx= 48x^5 - 144x^3 + 18x^2 - 27

PA
Answered by Patrick A. Maths tutor

3220 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Given that f(x) = x^2 (3x - 1)^(1/2) find f'(x)


How do I find the co-ordinates and nature of the stationary points on a curve?


How do you integrate ln(x)?


Let X be a normally distributed random variable with mean 20 and standard deviation 6. Find: a) P(X < 27); and b) the value of x such that P(X < x) = 0.3015.


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