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The curve C has the equation y = 2x^2 -11x + 13. Find the equation of the tangent to C at the point P (2, -1).

The first step is to differentiate the equation of the curve in order to find the gradient of the tangent at the curve. Remember that when differentiating polynomials, we multiply the index of the variable x...
JY
Answered by James Y. • Maths tutor
17578 Views

A curve has the equation (x+y)^2 = xy^2. Find the gradient of the curve at the point where x=1

The first step is to find dy/dx. To do this you must first expand the brackets. x 2 + y 2 + 2xy = xy 2 Then differentiate each term with respect to x. dy/dx of (x 2 ) = 2x dy/dx of (y 2 ) = 2y(dy/dx) (Using ...
MO
Answered by Motunrayo O. • Maths tutor
17907 Views

How do I solve this inequality: x^2>2x ?

Solve the equation x 2 =2x (solve x 2 -2x=0 by factorisation). Sketch the graphs y=x 2 and y=2x, using standard graph shapes. Look at the sketch to see for which values of x the graph y=x 2 lies above y=2x; ...
JK
Answered by Jan K. • Maths tutor
7692 Views

Factorise fully 3*a^3*b +12*a^2*b^2 + 9*a^5*b^3

To factorise 3a 3 b + 12a 2 b 2 + 9a 5 b 3 , we need to deal with like elements together.Start with the integers. The highest common factor of 3, 12, and 9 is 3. Therefore we factor out the 3 and the express...
MP
Answered by Melissa P. • Maths tutor
5284 Views

Find the highest common factor of 432 and 522

To do this, we first need to calculate the prime factorisations of 432 and 522, that is to say we need to break the numbers down into their prime factors.Let's start with 432. 432 = 2 x 216432 = 2 x ( 2 x 10...
MP
Answered by Melissa P. • Maths tutor
15381 Views