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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

3721 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

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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

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If a 5 metre ladder is resting against a wall and the bottom of the ladder is 3 metres away from the wall, and someone pulls the bottom of the ladder away at a speed of 1 metre per second, calculate the speed of the top of the ladder after t seconds

After t seconds the distance between the bottom of the ladder and the wall is t metres. Let x denote the distance that the top of the ladder has moved after t seconds. Now use the theorem of Pythagoras to...

Answered by Oliver B. • Maths tutor

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