Differentiate y=4x^2+3x+9

Use the rule of "bringing down the power" and then reducing the power by 1. Start with 4x^2. "Bring down" the 2 to make (4)(2)x^2, then reduce the power by 1 to make 8x. Now repeat this with 3x (you can imagine this as 3x^1 if this is easier). Bring down the 1 to make (3)(1)x^1 and then reduce the power by 1 to make 3x^0 which is 3. 9 cannot be differentiated , so we just get 0. Overall, this gives us dy/dx = 8x + 3

Answered by Tarryn R. Maths tutor

4659 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A pot of water is heated to 100C and then placed in a room at a temperature of 18C. After 5 minutes, the pan temperature falls by 20C. Find the temperature after 10minutes.


Integrate the natural logarithm of x (ln x) with respect to x


Solve the equation 2ln2x = 1 + ln3. Give your answer correct to 2dp.


How to draw the inverse of a function ?


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 2013–2024

Terms & Conditions|Privacy Policy