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

4238 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How would the integral ∫x^2sin2xdx be solved using integration by parts?


The volume of a cone is V = 1/3*pi*r^2*h. Make r the subject of the formula.


How to differentiate using the chain rule


Given that y= x^(-3/2) + (1/2)x^4 + 2, Find: (a) the integral of y (b) the second differential of y


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