MYTUTOR SUBJECT ANSWERS

412 views

Find the derivative of the following expression: y=x^3+2x^2+6x+5.

As the expression contains 4 separate terms that are added together, we can treat this as 4 separate differentiations. The general rule for differentiation for a general term bx^n is (b*n)x(n-1). For example, the first differentiation in this question is for x3, which would lead to (3*1)x(3-1), as b is just 1, which can be simplified to 3x2. Carrying on, we can find the following differentiations, which are:

2x2 goes to 4x

6x goes to 6

5 goes to 0

The final differentiation is 0 due to the fact that while it is written in the question as 5, we can actually think of it as 5x0. This is due to the fact that anything to the power of 0 is 1, leaving just 5. Using the general rule again, this would give the result of (5*0)x(0-1) = 0.

The final result is therefore dy/dx = 3x2+4x+6.

Matthew N. A Level Maths tutor, GCSE Maths tutor, A Level Chemistry t...

10 months ago

Answered by Matthew, an A Level Maths tutor with MyTutor


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

265 SUBJECT SPECIALISTS

Sam C. GCSE Maths tutor, 13 Plus  Maths tutor, 11 Plus Maths tutor, A...
£20 /hr

Sam C.

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

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
.PAT.
-Oxbridge Preparation-

“Maths and Physics hold the tools to unravelling the mysteries of the universe! I hope you enjoy unlocking these tools as much as I do!”

£24 /hr

Tiarnan B.

Degree: MChem (Masters) - York University

Subjects offered:Maths, Geography+ 2 more

Maths
Geography
Chemistry
-Personal Statements-

“I am a fun, open and qualified tutor. I guarantee by choosing me you will reach where you want to be and beyond, all while enjoying the subject!”

Sahil M. A Level Biology tutor, GCSE Biology tutor, A Level Chemistry...
£22 /hr

Sahil M.

Degree: Medicine (Bachelors) - Manchester University

Subjects offered:Maths, Spanish+ 3 more

Maths
Spanish
Chemistry
Biology
-Medical School Preparation-

“Hello! My name is Sahil and I am currently a medical student at the University of Manchester. I am really looking forward to tutoring you in Spanish, Chemistry, Biology or Maths as well as trying to help you during the difficult proce...”

About the author

Matthew N.

Currently unavailable: for new students

Degree: Chemistry (4 Years) [MChem] (Masters) - Manchester University

Subjects offered:Maths, Chemistry

Maths
Chemistry

“About Me:I'm a third year student at the University of Manchester studying for my masters degree in Chemistry. The main purpose of my tutorials, aside from allowing you to pass your exams with a great mark, is to get you interested i...”

MyTutor guarantee

You may also like...

Posts by Matthew

Explain how the electron pair repulsion theory can be used to deduce the shape of, and the bond angle in, NH3.

Explain, in terms of sub-atomic particles, why the mass number of a magnesium atom is 24.

Find the derivative of the following expression: y=x^3+2x^2+6x+5.

Rearrange the equation y=3x+2 to make x the subject.

Other A Level Maths questions

What is the probability that a leap year has 53 Sundays?

How do I integrate sin^2 (x) dx?

Let R denote the region bounded by the curve y=x^3 and the lines x=0 and x=4. Find the volume generated when R is rotated 360 degrees about the x axis.

Use integration by parts to find the integral of sin(x)*exp(x)

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