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Given that y=(4x-3)^3 x sin2x find dy/dx

To begin with it is important to identify which method of differentiation is required here, since there are two terms multiplied together you would initially choose the product rule, differentiating (4x-3...

MO
Answered by Max O. Maths tutor
3062 Views

Solve the following equation by factorisation: x^2 - 2x -15 = 0

'No Nonsense' Answer: Our equation is x^2 - 2x - 15 = 0 so we want to find two numbers that add to get -2 and multiply to get - 15. The possible numbers pairs that multiply to get -15 are...1 and -15, -1 ...

TD
Answered by Tutor49235 D. Maths tutor
9063 Views

Solve (4x10^-3)x(9x10^4)

The answer is 1.3x10^2. To solve this you need to multiply the integers first to get 13. The exponents (x10^4 for example) are then multiplied, since it is multiplication the powers are simply added to ...

PR
Answered by Philippe R. Maths tutor
5982 Views

Factorise x^2 + 2x - 3

This is in the form Ax^2+Bx +C where A=1 B=2 and C=-3 We need to find two numbers (let's call them p and q) which multiply to equal C and add to equal B. Since C is negative we need a positive number and ...

CG
Answered by Catherine G. Maths tutor
5502 Views

I know how to integrate, but I still never see any real world example of it, so it is difficult to understand. Why is it useful?

(In tandem with the whiteboard) Integration is a way of working out the total of something. An example of this is if you see a graph of velocity and time, the area under the graph is the total distance tr...

CM
Answered by Cain M. Maths tutor
2825 Views

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