MYTUTOR SUBJECT ANSWERS

505 views

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...

1 year ago

Answered by Monique, an A Level Maths tutor with MyTutor


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

252 SUBJECT SPECIALISTS

£22 /hr

Benedict C.

Degree: Natural Sciences (Bachelors) - Leeds University

Subjects offered:Maths, Physics

Maths
Physics

“I am studying Physical Natural Sciences at Leeds University. My sessions focus on understanding and making examples work for you.”

£20 /hr

Daniel O.

Degree: Natural Sciences (Masters) - Nottingham University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Chemistry

“An enthusiastic Natural Sciences undergraduate at the University of Nottingham with industry experience working for the Defence Science Technology Laboratories.”

£22 /hr

Kashf S.

Degree: Chemistry (Bachelors) - University College London University

Subjects offered:Maths, Chemistry

Maths
Chemistry

“Hi, I'm a first year Chemistry student at UCL, I have experience in tutoring and am willing to tutor people of all abilities”

About the author

Monique .

Currently unavailable: for regular students

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

Subjects offered:Maths, Physics+ 3 more

Maths
Physics
French
Chemistry
Biology

“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

If y = 1/(x^2) + 4x, find dy/dx

Solve for 0<=θ<π, the equation sin3θ-(sqrt3)cosθ=0 (C2)

differentiate: y^2 + 3xy + x + y = 8

how to integrate by parts

View A Level Maths tutors

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

mtw:mercury1:status:ok