MYTUTOR SUBJECT ANSWERS

412 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

295 SUBJECT SPECIALISTS

£20 /hr

Isaac F.

Degree: Natural Sciences (Masters) - Bath University

Subjects offered:Maths, Science+ 2 more

Maths
Science
Physics
Chemistry

“I study Natural Sciences (Physics & Chemistry) at the University of Bath. My tutorials will aim to answer student’s questions and clarify any concepts. ”

MyTutor guarantee

£20 /hr

Joseph B.

Degree: Accounting and Finance (Bachelors) - LSE University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
-Personal Statements-

“Previously I have found that all pupils learn differently, so need to be taught differently, thus, tailoring my lessons to suit individuals.”

MyTutor guarantee

£20 /hr

Rhys M.

Degree: Economics (Bachelors) - Durham University

Subjects offered:Maths, History+ 2 more

Maths
History
Geography
Economics

“About Me I am currently studying Economics at Durham University. Economics is a very broad subject, so I am very passionate about many other subjects and do a lot of reading around my subject. I was delighted to be awarded the top spo...”

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

Find the set of values for x for which x^2 - 9x <= 36

The curve "y=6x-x^2" and the line "y=2x" intersect at the origin. At what other coordinate to they intersect?

Find the derivative of x^x

Express 2/P(P-2) in Partial Fractions (C4)

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