The curve C has equation y = 3x^4 – 8x^3 – 3. Find dy/dx.

To find dy/dx, the differential, of any function... you must times the coefficient of each variable of x by its power, then reduce the power by one. Using this information we can work out that 3x^4 turns to 12x^3, and -8x^3 turns to -24x^2. Since -3 doesn't appear to be a coefficient of x, we must imagine it to be -3x^0. Therefore when you multiple the coefficient, 3, by 0, this part of the equation turns to zero.
Therefore if curve C has equation y = 3x^4 – 8x^3 – 3. We know that dy/dx = 12x^3 - 24x^2 (+0).

JC
Answered by Joseph C. Maths tutor

4204 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Two lines have equations r_1=(1,-1,2)+a(-1,3,4) and r_2=(c,-4,0)+b(0,3,2). If the lines intersect find c:


Find the integral of (3x^2+4x^5-7)dx


Show that 2(1-cos(x)) = 3sin^2(x) can be written as 3cos^2(x)-2cos(x)-1=0.


How can you find the coefficients of a monic quadratic when you know only one non-real root?


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