Find dy/dx where y=e^(4xtanx)

Here, we must apply both chain and product rules. The chain rule can be used to find the derivative of a function in the form ef(x), like this one. However it is useful to know that this will result in the following: f'(x)ef(x)... in other words the solution is always the derivative of the power times the initial equation. Knowing this can save a lot of time in the exam- it appears a lot.

Now, our only issue is finding the derivative of 4xtanx... this requires the product rule(the derivative of a product function uv= vdu+udv). In this example u=4x and v=tanx. Now du=4 and dv=sec2x. Slotting these into the above formula we get: 4tanx+4xsec2x. 

All that is left is to bring together these two parts to get: d(e4xtanx)/dx= (4tanx+4xsec2x)e4xtanx.

Monique  . A Level Physics tutor, A Level French tutor, A Level Maths...

10 months ago

Answered by Monique, an A Level Maths tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist


£24 /hr

Joe M.

Degree: Biology (Bachelors) - Durham University

Subjects offered: Maths, Science+ 2 more


“Second year Biology student tutoring science and maths in a relaxed and friendly environment”

£20 /hr

Filip W.

Degree: MSci Chemical Physics (Masters) - Bristol University

Subjects offered: Maths, Physics+ 2 more

Further Mathematics

“My name is Filip and I'm a 3rd year student of Chemical Physics at Bristol Uni. I'm quite chatty, friendly and find science really exciting! I'm sure I'd be able to convince you that science can be fun ;)! Relevant experience I have a...”

MyTutor guarantee

£24 /hr

Sarah O.

Degree: PhD in Physics (Doctorate) - Cambridge University

Subjects offered: Maths, Physics+ 1 more


“I'm a first year Physics PhD student at the University of Cambridge. I completed my MChem (Chemistry degree) at the University of Warwick, for which I achieved a 1st. I have experience tutoring A-Level students Chemistry and Maths one...”

MyTutor guarantee

About the author

Monique .

Currently unavailable: for regular students

Degree: Physics (Masters) - Oxford, Balliol College University

Subjects offered: Maths, Physics+ 3 more


“ABOUT ME I am a 19 year old physics student at Oxford University, and I love my subject, because I love solving challenging problems . I have wanted to tutor for a while now because of this; I’d like to help others with whatever they ...”

You may also like...

Posts by Monique

A 1.6m long string fixed at both ends vibrates at its fundamental frequency... (i)what is this frequency?

Atmospheric Pressure is about 1.0x10^5 Pa. What is the downward force of the air on a desktop of surface area 1m^2?

Find dy/dx where y=e^(4xtanx)

How do you know when to use savoir or connaitre?

Other A Level Maths questions

How do I draw and sketch an equation?

Given that d/dx(cosx)=-sinx show that d/dx(secx)=secx(tanx)

differentiate y=(4x^3)-5/x^2

Given that y = 5x^2 - 4/(x^3), x not equal to 0, find dy/dx.

View A Level Maths tutors


We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss