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What is the difference between quotient rule, product rule and chain rule, and when to use them in differentiation?

Chain rule:when we have a function on its own raised to a certain power. eg: f(x)=(2x+3)3--> f'(x)=3*2(2x+3)2
Product rule:<...

RA
Answered by Ren A. Maths tutor
5959 Views

Expand and simplify (x − 4)(2x + 3y)^2

First concentrate on expanding the squared term, don't try and do it all in your head, the 2x+3y term should expand to give 4 separate terms. Then combine any terms with the same configuration of x and y,...

CM
Answered by Catherine M. Maths tutor
4187 Views

Integrate Sin(x)Cos(x)dx.

Integral(Sin[x]Cos[x]dx) can be calculated. The method is to recognise that the trigonometric identity of 2Sin[x]Cos[x]=Sin[2x] can be applied. This would transform the integral into Integral(0.5Sin[2x]) ...

DD
Answered by Daniel D. Maths tutor
3860 Views

What are the two roots of the equation (4x-8)(x-3) = 0?

Since there are two terms multiplying together, when either of them are equal to zero, the total multiplication will also be zero. Ie, 10 x 0 = 0. This means that to find the two roots, we can simply equa...

DD
Answered by Daniel D. Maths tutor
3327 Views

Solve 3x + 6 > 3 - 2x.

3x + 6 > 3 - 2x. Firstly move the numerical terms to one side. 3x + 3 > - 2x. Secondly, move all x terms to the same side. 5x + 3 > 0. Finally, put the numerical and x terms to opposite sides, an...

DD
Answered by Daniel D. Maths tutor
2940 Views

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