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

4282 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate the following function u = Cos(x3)


A block of mass 5kg is on a rough slope inclined at an angle of 30 degrees to the horizontal, it is at the point of sliding down the slope. Calculate the coefficient of friction between the block and the slope.


How to integrate 5x^2?


What is the gradient of the quadratic function y=3x²?


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