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Maths
A Level

Given that y = 5x(3) + 7x + 3, find A) dy/dx B) d2y/dx2

A) 15x2 +7

B) 30x

Answered by Ally W. Maths tutor
4571 Views

Given y = 2x^2 + 3x + 2 find dy/dx

To get dy/dx from a formula y in terms of x we must differentiate y with respect to x. Generic formula for term differentiation: d/dx(ax^b) = bax^b-1 = times the coefficient by the power and minus the pow...

Answered by Alex O. Maths tutor
10695 Views

Given that 4 sin(x) + 5 cos(x) = 0 , find the value of tan x .

Before we get started with answering the question, it is generally good practice to write down any formulas and equations you know that will help us work through the solution. So what formula do we know t...

Answered by Varun C. Maths tutor
11644 Views

Differentiate cos(2x)/(x) with respect to x

-cos(2x)/(x2) - 2sin(2x)/(x)

Answered by Marcus S. Maths tutor
4989 Views

If z is a complex number, solve the equation (z+i)* = 2iz+1 where the star (*) denotes the complex conjugate.

For questions like these it's easier to first rewrite z as z=x+iy. 

Once we plug this back into the original equation we get x-iy-i = 2ix-2y+1

Rearranging both sides to group together the re...

Answered by Aysha A. Maths tutor
11247 Views

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