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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 power ...
AO
Answered by Alex O. • Maths tutor
12440 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 that...
VC
Answered by Varun C. • Maths tutor
13664 Views

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

-cos(2x)/(x 2 ) - 2sin(2x)/(x)
MS
Answered by Marcus S. • Maths tutor
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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 real and imaginary t...
AA
Answered by Aysha A. • Maths tutor
14230 Views

y=4x/(x^2+5)

Find dy/dx Remember quotient rule dy/dx=(u'v-v'u)/v^2 u=4x u'=4 v=x^2+5 v'=2x dy/dx=(20-4x^2)/(x^2+5)^2 (simplified)
JS
Answered by Jeppe S. • Maths tutor
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