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Maths
A Level

Find the derivative of the following expression: y=x^3+2x^2+6x+5.

As the expression contains 4 separate terms that are added together, we can treat this as 4 separate differentiations. The general rule for differentiation for a general term bx^n is (bn)x(n-1...

MN
Answered by Matthew N. Maths tutor
4504 Views

y = 6x^2 + 8x + 2. Find dy/dx

y = 6x+ 8x + 2 

To find the first derivative of this equation, we must multiply the powers of x with the coefficient. Therefore, we do 2 times 6 (2 is the power and 6 is the ...

RD
Answered by Raj D. Maths tutor
8580 Views

Find the area encompassed by y=(3-x)x^2 and y=x(4-x) between x=0 and x=2.

This is an integration question.
The limits have been provided.

Firstly find the integral for the first curve
int{x(4-x)}dx
int{4x-x2}dx
2x2-x...

AD
Answered by Anthony D. Maths tutor
3397 Views

How do I multiply 2 matrices?

To multiply two matrices we need to name them A and B.

If for example we have 2 2X2 square matrices we know this will create a 3rd 2x2 martix

For this example we will use :<...

CR
Answered by Ciara R. Maths tutor
14179 Views

Do y=3x^2+5x+12 and y=3x-8 intercept with each other? If yes, at which point(s)?

This is like solving 2 simultaneous equations. Both equations are in a form of y=ax^2+bx+c. Equate both equations together and you got:
3x2+5x+12 = 3x-8

Put both polynomi...

JH
Answered by Justin H. Maths tutor
4574 Views

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