MYTUTOR SUBJECT ANSWERS

722 views

Find dy/dx for y=5x^3-2x^2+7x-15

Step 1: To differentiate an equation there is a simple rule to follow. For y=axn dy/dx=anxn-1. so for an example y=x3, dy/dx=3x2. Therefore we just apply this rule into our equation.

Step 2: Break the equation down and do each factor of x seperately so 5x3 differentiates into 15x2, -2x2 differentiates to -4x, 7x differentiates to 7 and the 15 disappears from the end. This happens as the 15 just tells us where the line crosses the y axis and therefore has no bearing on the gradient.

Step 3: Put the differentiated parts back together to give the differentiated equation

dy/dx=15x2-4x+7

Matthew T. A Level Maths tutor, GCSE Maths tutor, GCSE Physics tutor,...

2 years ago

Answered by Matthew, an A Level Maths tutor with MyTutor


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

349 SUBJECT SPECIALISTS

£26 /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!”

£30 /hr

Piyush S.

Degree: Electronics Engineering (Doctorate) - Imperial College London University

Subjects offered:Maths

Maths

“I am an experienced and passionate tutor for Maths and Science (Physics in particular). Throughout my higher education, I have been wondering about how Mathematics acts as a tool to model and simplify the complicated concepts of the P...”

£22 /hr

Abra G.

Degree: Mathematics and Philosophy (Bachelors) - Oxford, St Hugh's College University

Subjects offered:Maths, Physics+ 6 more

Maths
Physics
Further Mathematics
English
.STEP.
.MAT.
-Personal Statements-
-Oxbridge Preparation-

“Oxford student of Maths and Philosophy looking to share her joy in both. Focusing on first principles, creative problem-solving, and discussion.”

About the author

Matthew T.

Currently unavailable: for regular students

Degree: Aerospace Engineering (Masters) - Bristol University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Geography

“About me:I am a student studying Aerospace Engineering at the University of Bristol now going into my second year. This is a very Maths and Physics intensive course so its just as well I have areal enjoyment in these subjects, someth...”

MyTutor guarantee

You may also like...

Posts by Matthew

Find dy/dx for y=5x^3-2x^2+7x-15

Solve the equation ((2x+3)/(x-4))-((2x-8)/(2x+1))=1

What is an isotope?

What is the difference between speed and velocity?

Other A Level Maths questions

Line AB has the equation 3x + 5y = 7. Find the gradient of Line AB.

Integrate sin^2(x) with respect to x

What is the equation of the normal line to the curve y = 3x^3 - 6x^2 at the point (1, 4)?

Find the derivative of f(x)= ln(|sin(x)|). Given that f(x) has a value for all x, state why the modulus is required.

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