Given df/dx=2x+3 and the graph goes through (1,1), what is the function f?

First step: integrate int df/dx = x^2+3x+c (never forget the constant!) 

Second step: substitute the point in order to get c 

1 = (1)^2+3*1+c -> c = 1-1-3=-3

Thus, f = x^2+3x-3

Evita G. GCSE English tutor, A Level Maths tutor, A Level Physics tutor

1 year ago

Answered by Evita, an A Level Maths tutor with MyTutor

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


£26 /hr

Scott R.

Degree: PGCE Secondary Mathematics (Other) - Leeds University

Subjects offered:Maths, Further Mathematics

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.”

£20 /hr

Mihir P.

Degree: Economics (Bachelors) - Cambridge University

Subjects offered:Maths, Economics+ 1 more

-Personal Statements-

“Hey! My name is Mihir and I'm a Cambridge Economics student. I'm a friendly, hard-working tutor that will help students gain confidence in exams.”

MyTutor guarantee

£24 /hr

Sophie H.

Degree: Mathematics (Masters) - Bristol University

Subjects offered:Maths, Further Mathematics

Further Mathematics

“I’ll help anyone finding maths hard. I still struggle now, it's not meant to be easy! Be at my tutorial or (c^2-a^2) <- a maths joke, I apologise.”

About the author

£20 /hr

Evita G.

Degree: Mathematics and Physics (Bachelors) - University College London University

Subjects offered:Maths, Physics+ 4 more


“My name is Evita and I am currently studying Maths and Physics at UCL. I love mathematics and the sciences and I would like to share my knowledge and skills. Maths and physics are the most logical things in the world and tutoring gives...”

MyTutor guarantee

You may also like...

Posts by Evita

A ball is kicked from a tower (50m) at a speed of 20m/s. How far away does the ball hit the ground?

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

Given df/dx=2x+3 and the graph goes through (1,1), what is the function f?

Name an experiment proving that light is wave and one that is proving that light consists of particles.

Other A Level Maths questions

A cup of coffee is cooling down in a room following the equation x = 15 + 70e^(-t/40). Find the rate at which the temperature is decreasing when the coffee cools to 60°C.

How do you solve a quadratic inequality eg find the values of x for which x^2 -6x +2 < -3

A girl saves money over 200 weeks. She saves 5p in Week 1, 7p in Week 2, 9p in Week 3, and so on until Week 200. Her weekly savings form an arithmetic sequence. Find the amount she saves in Week 200. Calculate total savings over the 200 week period.

How could I sketch a graph of y=2x^3-3x^2?

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