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How do I differentiate y=(4+9x)^5 with respect to x?

The method we use to differentiate this form of equation is called the chain rule. The chain rule is dy/dx = dy/du x du/dx We can rememeber the right way up of the terms on the right hand side by treating th...
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Answered by Jenny H. • Maths tutor
5584 Views

Solve the simultaneous equations 2x+2y=14 and 3x-y=1

To solve these eliminations, we must eliminate either the x's or the y's. Either is possible but let us start with the y's. There is 2y in the first equation and (-1)y in the second, so we will have to multi...
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Answered by Angus S. • Maths tutor
7922 Views

Find the solution(s) of 3(x^2)-6x+2=0

This is a quadratic equation and as such it has zero, one or two solutions depending on the value of the discriminant (b 2 -4ac). In this equation, a=3, b=-6 and c=2 so b 2 -4ac = 36-24=12. As this is >0 ...
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Answered by Angus S. • Maths tutor
4693 Views

Solve x^2 + x -12= 0 for all values of x.

This is a quadratic equation so there are two main methods you can use to solve it- factorising and completing the square. My preferred method and the one I will demonstrate is factorisation . The above equa...
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Answered by Sam F. • Maths tutor
13775 Views

How do you find the gradient of a parametric equation at a certain point?

The easiest way to see this is with an example. So let us take the curve: x = cos(2t) , y = sin(t) with a point P where t = pi/6 The gradient at any point is equal to the derivative of y with respect to x at...
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Answered by Alex D. • Maths tutor
25336 Views