Differentiate the function: y = sin(x^2)*ln(5x)

  • Google+ icon
  • LinkedIn icon
  • 641 views

We are tasked with differentiating y = sin(x2)*ln(5x)

This function is actually a product of the functions:

sin(x2) and ln(5x)

Therefore the product rule will be required.

First let's calculate the derivatives of our individual functions before combining them.

The derivative of sin(x2) is 2x*cos(x2) using the chain rule.

The derivative of ln(5x) is 1/x.

Now to combine these using the product rule. Our answer will be:

2x*cos(x2)*ln(5x) + sin(x2)*1/x

Thomas C. 11 Plus Maths tutor, A Level Maths tutor, 13 plus  Maths tu...

About the author

is an online A Level Maths tutor with MyTutor studying at Cambridge 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