MYTUTOR SUBJECT ANSWERS

503 views

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

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...

10 months ago

Answered by Thomas, an A Level Maths tutor with MyTutor


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

306 SUBJECT SPECIALISTS

£20 /hr

Bukky O.

Degree: Maths with Finance (Bachelors) - Exeter University

Subjects offered:Maths, Chemistry

Maths
Chemistry

“Hi, I'm Bukky (pronounced book-ee) and my aim is to not only help your child excel in Maths but also hopefully enjoy it too”

£20 /hr

Luke B.

Degree: Mathematics (Masters) - Sheffield University

Subjects offered:Maths, Further Mathematics + 3 more

Maths
Further Mathematics
.STEP.
.MAT.
-Personal Statements-

“I am a fun, engaging and qualified tutor. I'd love to help you with whatever you need, giving you the support you need to be the best you can be!”

£20 /hr

Liam M.

Degree: Mathematics (Bachelors) - St. Andrews University

Subjects offered:Maths, Science+ 2 more

Maths
Science
Physics
Chemistry

“I have a real passion for Maths and Physics and would relish the opportunity to pass this passion on to others! ”

About the author

Thomas C.

Currently unavailable: for new students

Degree: Natural Sciences (Physical) (Bachelors) - Cambridge University

Subjects offered:Maths, Science+ 7 more

Maths
Science
Physics
Further Mathematics
Chemistry
.STEP.
.PAT.
-Personal Statements-
-Oxbridge Preparation-

“Hi! I`m Tom, a 2nd year Natural Sciences undergraduate at Cambridge University. I am a very positive and empathetic person with a love for the Sciences. I am an experienced tutor in Maths, Physics and Chemistry from GCSE to A level a...”

You may also like...

Posts by Thomas

A 0.20 kg mass is whirled round in a vertical circle on the end of a light string of length 0.90 m. At the top point of the circle the speed of the mass is 8.2 m/s. What is the tension in the string at this point?

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

How many moles of Magnesium must react with excess Oxygen to produce 80g of Magnesium oxide?

If a cricket ball of mass 500g is thrown upwards from the ground with an initial velocity of 20 m/s, how high will the ball reach?

Other A Level Maths questions

Why bother with learning calculus?

Find the derivative of the curve e^(xy) = sin(y)

Can you explain where the "Integration by parts" formula comes from?

Express 3cos(x)+4sin(x) in the form Rsin(x+y) where you should explicitly determine R and y.

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