Top answers

The curve C has equation ye^(-2x) = 2x + y^2. Find dy/dx in terms of x and y.

The curve's equation is presented as an implicit function. Therefore we must use implicit differentiation to solve this problem. To do this, we differentiate both sides of the equation with respect to x, app...
GW
Answered by Georgia W. • Maths tutor
9816 Views

Write 36 as a product of its prime factors giving the answer in index form.

A prime number is a number only divisible by itself and 1. To write 36 as a product of its prime factors we use a factor tree. The key thing to remember is to always circle the prime numbers. So we start wit...
LT
Answered by Lucy T. • Maths tutor
21592 Views

Let f(x) = x^3 -2x^2-29x-42. a)Show (x+2) is a factor b)Factorise f(x) completely

a) To show (x+2) is a factor, we want to show f(-2)=0. So (-2)^3-2(-2)^2 -29(-2)-42=-8-8+58-42=0 b) Divide x^3 -2x^2-29x-42 by x+2 to get x^2-4x-21 which we factorise to get (x+3)(x-7). Hence f(x)=(x+2)(x+3)...
Answered by • Maths tutor
6628 Views

Let y = x^x. Find dy/dx.

This question is suited to A2 maths students, particularly those who are doing further maths and may be looking for a challenge. In one question it tests the students ability to use implicit differentiation,...
JG
Answered by James G. • Maths tutor
7189 Views

Factorise 3x^2+15x

Firstly we need to understand what the question is asking us to do. Factorise means we need to take out the Highest Common Factor (HCF) that each term can be divided by.The two terms in this question is 3x 2...
HC
Answered by Hinesh C. • Maths tutor
4940 Views