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y(x) = x^2(1-x)e^-2x , find y'(x) in the form of g(x)e^-2x where g(x) is a cubic function to be found

For this question, I would first expand the brackets in the given y(x) to form , x^2e^-2x -x^3e^-2x . With this form, I would then differeniate using the chain rule to then obtain the expression that can ...

Answered by Arjun B. • Maths tutor

3689 Views

A rectangle of perimeter 45cm has sides of length x and x+4. Work out the value of x.

First, draw a diagram to help visualise the problem.
Next, write out the full sum: x + x + (x+4) + (x+4) = 45
This simplifies to: 2x + 2(x+4) = 45
Which expands to: 2x + 2x + 8 =45
T...

Answered by Imogen R. • Maths tutor

6866 Views

When dealing with trigonometric functions such as sin, cos or tan, how do you solve the trigonometric equation when the argument of the function(s) is nx, where n is a real number not equal to 1.

In order to solve Trigonometric equations like these, you must consider how the argument of the function changes the period of the graph. There are many methods of solving equations like this, but persona...

Answered by Joshua M. • Maths tutor

3251 Views

How many thirds are there in 9?

There are 3 thirds in 1 Thus, multiplying 1 by 9 gives us 9, and thus multiplying 3 by 9 gives us 27

Answered by Nimita K. • Maths tutor

2559 Views

Find dy/dx when y=(3x-1)^10

We have to use the chain rule in this instance to find the differentiated value y=(3x-1)^10 suppose y=u^10 thus, dy/du = 10u^9 secondly: u=3x-1 du/dx=3 the chain rule suggests that dy/dx = du/dx *dy/du so...

Answered by Nimita K. • Maths tutor

3989 Views