Top answers

Given the equation 3x^2 + 4xy - y^2 + 12 = 0. Solve for dy/dx in terms of x and y.

Here the key is to remember to differentiate with both x and y with respect to x, where the differential of y is dy/dx. Consider the first term, 3x 2 : This differentiates to 6x. This is done by multiplying ...
EW
Answered by Emma W. • Maths tutor
5071 Views

integrate x^2(2x - 1)

This can be achieved through integrating by parts. The term we wish to differentiate and ultimately eliminate here is the x^2 term. There by applying the formula twice the integration can be accomplished. I ...
MV
Answered by Maximilian V. • Maths tutor
6051 Views

How to differentiate the function f(x)= 3x^3 + 2x^-3 - x^(1/2) + 6?

Firstly the general formula you can use on each of the x terms in the polynomial you are trying to differentiate is; f(x)=x n then f '(x)=nx n-1 where any constant, c, will differentiate to give 0. This form...
FE
Answered by Fred E. • Maths tutor
4494 Views

Make a the subject of 3(a+4) = ac+5f .

3a + 12 = ac + 5f 3a - ac = 5f - 12 a(3-c) = 5f - 12 a = (5f - 12)/ (3 - c)
AA
Answered by Armita A. • Maths tutor
4322 Views

The line AB has equation 5x + 3y + 3 = 0 . (a) The line AB is parallel to the line with equation y = mx + 7 . Find the value of m. [2 marks] (b) The line AB intersects the line with equation 3x -2y + 17 = 0 at the point B. Find the coordinates of B.

Rearrange line into standard form. y=5/3*x +1 For parallel lines the gradient is the same therefore m = 5/3 Point of intersection is where two lines equal eachother multiply out to elminate x term 15x + 9y +...
DH
Answered by Daniel H. • Maths tutor
4499 Views