Top answers

Maths
All levels

Given that y = cos(3x)cosec(5x), use the product rule to find dy/dx.

Write out the product rule: if y=f(x)g(x) where f and g are functions, dy/dx = f'(x)g(x) + f(x)g'(x)
Substitute in the expressions from the question:Therefore if f(x)=cos(3x) and g(x) = cosec(5x), f'...

HL
Answered by Harry L. Maths tutor
3284 Views

How do you expand and simplify (x − 6)(x + 2y)^2

start of by expanding the braquet which has got a power(x + 2y) (x + 2y) = X2 + 2xy + 2xy + 4Y2then simplify that => x2 + 4xy + 4y2then multiply that by (x -...

AO
Answered by Antoine O. Maths tutor
4698 Views

How do you find the equation of a tangent to a curve at a certain point, from the equation of the curve?

First thing you would do is write down the coordinates where the tangent meets the curve. After that you would differenciate the equation (f(x)) of the curve (do dy/dx) in order to get f'(x).Then you woul...

AO
Answered by Antoine O. Maths tutor
3181 Views

John wants to separate a rectangular part of his garden for his puppy. He has material for a 100-meter long fence and he plans to use one side of his house as a barrier. How should John select the sizes of his fence in order to gain the biggest territory?

We can denote the sides of the rectangle with a and b. As one side of the separated area is going to be the wall of the house, we do not have to use a fence there. Therefore, we will have two sides, one ...

SG
Answered by Soma G. Maths tutor
2705 Views

Why is the derivative of sin(x), cos(x)?

Find out what they know what the questions means, ie if they know what sinx and cosx are and then how much they understand about what derivatives are.I would explain from the point they're at, define ever...

RA
Answered by Ryan A. Maths tutor
3141 Views

We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences