626 views

### If y = 1/(x^2) + 4x, find dy/dx

First, notice that 1/(x^2) = x^(-2)

dy/dx = d/dx (x^(-2) + 4x)

The derivative of the sum is the sum of the derivatives

= d/dx (x^(-2)) + d/dx (4x)

The derivative of x^n is nx^(n-1), for every real number n, and a constant gets in front of the deivative

= -2 x^(-3) + 4 d/dx (x)

= -2/(x^3) + 4

2 years ago

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

#### 360 SUBJECT SPECIALISTS

£26 /hr

Degree: PGCE Secondary Mathematics (Other) - Leeds University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

“I am currently completing 2 PGCEs in Leeds. I have always had a passion for maths and my objective is to help as many as possible reach their full potential.”

£30 /hr

Degree: Mathematics (Bachelors) - Bristol University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

“Hi, I'm Joe, an experienced tutor and a University of Bristol graduate with a first class Degree in Mathematics.”

£36 /hr

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

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Further Mathematics
Chemistry

“I am studying Natural Sciences at Cambridge, and have been tutoring for 5 years now. I focus on understanding, and finding explanations that work for you.”

Currently unavailable: for regular students

Degree: Mathematics and Computer Science (Masters) - Bristol University

Subjects offered:Maths

Maths

“I am an undergraduate, Mathematics and Computer Science student at the University of Bristol. In 2014 I graduated from "Petru Rares" National College passing my Baccalaureate exam with 10/10 in Mathematics. I participated in numerous ...”

MyTutor guarantee

### You may also like...

Given that (cos(x)^2 + 4 sin(x)^2)/(1-sin(x)^2) = 7, show that tan(x)^2 = 3/2

If y = 1/(x^2) + 4x, find dy/dx

The quadratic equation 2x^2 + 8x + 1 = 0 has roots x1 and x2. Write down the value of x1+x2 and x1*x2 and find the value of x1^2 + x2^2

#### Other A Level Maths questions

Differentiate x^x

Factorise x^3-6x^2+9x.

Solve the equation |3x + 4| = |3x - 11|

How can I improve my mathematics

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this.