if y = (e^x)^7 find dy/dx

  • Google+ icon
  • LinkedIn icon
  • 442 views

To solve the the problem we need to recognize what type of differentiation technique we shall be employing

y = (ex)7

the x unction which we are diferentiating is a power of an exponential function therefore we must employ a substituion method to solve this

if u = ex

therefore y = (u)7

dy/du = 7(u)6

we can say du/dx = ex

therefore dy/dx = dy/du  * du/dx

dy/dx = 7(ex)6 * ex

dy/dx = 7(ex)6​ * ex

dy/dx = 7(ex)7​

George I. 13 Plus  Maths tutor, A Level Maths tutor, GCSE Maths tutor...

About the author

is an online A Level Further Mathematics tutor with MyTutor studying at Bristol University

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

95% of our customers rate us

Browse 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