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How do you differentiate 2 to the power x?

let y=2 x {take natural logs of both sides} ln y = ln(2 x ) {use rules of logs to change right hand side} lny = xln2 {differentiate implicitly} 1/y . dy/dx = ln2 {make dy/dx the subject} dy/ dx = y ln2 {writ...
JR
Answered by Jack R. • Maths tutor
164189 Views

In what way does Bourdieu challenge the concept of meritocracy in education?

Bourdieu does this through his 3 forms of 'capital'. The normal usage of the term capital relates to currency, or the tools we use to navigate through society. Bourdieu extends this concept to include 'socia...
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Answered by Connor N. • Sociology tutor
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Solve the equation cos2x - 5cosx = 2

cos2x= 2cos^2x - 1 2cos^2x - 1 - 5cosx = 2 Let cosx = y 2y^2 - 5y - 3 = 0 (2y + 1)(y + 3) = 0 y = -1/2 or -3 cosx = -1/2 or -3 x = 120 degrees
PV
Answered by Pearl V. • Maths tutor
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Expand the expression (1+3x)^1/3 up to the term x^3.

= 1 + 3x 1/3 + (1/3 -2/3)(3x)^2 + (1/3*-2/3*-5/3)(3x)^3 = 1 + x - 2x^2 + 10x^3
PV
Answered by Pearl V. • Maths tutor
17676 Views

Pushing a mass up a slope and energy

Please note: knowledge of the SUVAT equations, friction and trigonometry is required for this thread. Energy comes in many forms, and here we will focus on kinetic energy (KE) and potential energy (PE). Belo...
DS
Answered by Daniel S. • Maths tutor
13987 Views