Top answers

Maths
A Level

The functions f and g are defined by f : x → 2x + ln 2, g : x → e^(2x). Find the composite function gf, sketch its graph and find its range.

Composition of functions is when one function is inside of another function. That is, we replace each occurrence of x found in the outside function with the inside function. In our example, we start by wr...

AS
Answered by Anna S. Maths tutor
12954 Views

Find stationary points of curve y = x^3+3x-2

y = x^3+3x-2dy/dx = 3x^2-2Stationary points when dy/dx = 00 = 3x^2-22 = 3x^2+-root2 = 3x+-root2/3 = x

CB
Answered by Charlie B. Maths tutor
3777 Views

Find the integers n such that 4^(n)-1 is prime.

4^(n)-1 factors to (2^(n)-1)(2^(n)+1) by difference of two squares by definition of a prime (only has factors 1 and itself (given that itself isn't 1))So Exactly one of the brackets should = 1 for 4^(n)-1...

GH
Answered by George H. Maths tutor
2666 Views

Given that y = x^2 +2x + 3, find dy/dx.

We use a typical rule for polynomials in the form y = axb , where a and b are real numbers. Also, for a polynomial equation y = axb +cx

JC
Answered by Jamie C. Maths tutor
5235 Views

How to differentiate e^x . sin(x)

ex sin(x) is a product of two functions: ex and sin(x). This means we can use the product rule.
Let ex = u and sin(x) = v
The differential of uv is u'v + v'u whe...

BW
Answered by Brent W. Maths tutor
40575 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