Find, using calculus, the x coordinate of the turning point of the curve with equation y=e^3x cos 4

1st step: find the derivative dy/dx of the given equation2nd step: now equate the obtained derivative to 0 because this is precisely the situation in which the graph changes direction (the derivative dy/dx equated to 0 means that the gradient m at that point equals 0. which if you think of logically makes sense to be the gradient at which the direction of the graph changes)3rd step: now just find the value of x from the obtained equation. The value of x you find corresponds to the x-cordinate of the turning point

UW
Answered by Urszula W. Maths tutor

4495 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Why is the derivative of the exponential function itself?


Two points have coordinates (1,-6) and (-2,3). Find the equation of the line which joins them, and their midpoint.


A particle of mass M is being suspended by two ropes from a horizontal ceiling. Rope A has a tension of 15N at 30 deg and rope B has a tension of xN at 45 deg, find M assuming the particle remains stationary.


Differentiate y=sin(x)*x^2.


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