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Solve: 4x + 5 = 6x - 13

4x+5=6x-13. Take 4x from both sides 5= 6x-4x-13 5=2x-13. On the right hand side, you have -13 value. Add 13, to make 0. Adding thirteen on right also adds thirteen on left. 5 + 13 = 2x - 13 + 13 18=2x. 2 ...

YH
Answered by Yacine H. Maths tutor
8051 Views

How to differentiate tan(x)?

tanx = sinx/cosx. Express this as: sinx*(cosx)^-1. Remembering the product rule: "y = f(x)g(x), dy/dx = f'(x)g(x) + f(x)g'(x)". sinx differentiates to cosx and cosx differentiates to -sinx. Also...

KA
Answered by Kai A. Maths tutor
12136 Views

How to complete the square?

This is a handy trick for quadratic equations ax^2 + bx + c = 0.

e.g. (x^2 + 5x + 6). So a = 1, b = 5 and c = 6.

To complete the square, let x^2 + 5x + 6 = 0. Then, take 6 to the other side ...

JP
Answered by Jigar P. Maths tutor
4744 Views

Differentiate y=sin(x)/5x^3 with respect to x

In order to complete this question we need to use the quotient rule (i.e. if an equation is of the form h(x)=f(x)/g(x) then h'(x)=(g(x)f'(x)-g'(x)f(x))/g(x)^2).In our example f'(x)=cos(x),g'(x)=15...

KZ
Answered by Kirill Z. Maths tutor
4215 Views

Find the stationary points of the function y = (1/3)x^3 + (1/2)x^2 - 6x + 15

A stationary point is a point on the function where the gradient is zero. The phrase 'stationary point' coming up in a question always indicates that differentiation may be useful to solve it. In this cas...

MH
Answered by Matthew H. Maths tutor
9739 Views

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