Find the 1st derivative of y = x^2 + 7x +3 and hence find the curves minima.

Firstly, we differentiate y = x2+7x+3 . This gives dy/dx = 2x+7.The minimum value occurs when dy/dx = 0. So find x and y when dy/dx=0. 2x+7=0 implies x= -3.5, which from the first equation means y = (-3.5)2 + 7*3.5 +3 = 39.75.Therefore, the minimum value has the position (-3.5, 39.75).

CW
Answered by Connor W. Maths tutor

4221 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How can I find the stationary point of y = e^2x cos x?


Find the stationary point(s) on the curve 2xsin(x)


ABCD is a rectangle with sides of lengths x centimetres and (x − 2) centimetres.If the area of ABCD is less than 15 cm^2 , determine the range of possible values of x.


Find the derivative of f(x)= ln(|sin(x)|). Given that f(x) has a value for all x, state why the modulus is required.


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