New Youtube Video:
Deriving an Alternative Equation of a Circle Using Thales's Theorem & the Dot Product
https://t.co/19DNVsY1V0
#dotproduct#vectors#thalestheorem
Proof that (AB)⁻¹ = B⁻¹A⁻¹.
This proof starts from the definition of a matrix inverse and uses only associativity and the identity matrix to show rigorously why the order of the inverses must be reversed.
https://t.co/QaGX7TZq7c
#mathematics#matrices#mathproofs
The 'Mathematics Proofs: GCSE & A-Level' channel is based on deriving general equations used in GCSE and A-Level Mathematics.
There is no problem solving, just the derivation of the most important formulas from first principles.
Link: https://t.co/IUrpNv3uBu
#gcse#alevel
New Youtube Video:
How to Put a Quadratic into Vertex Form | f(x) = ax² + bx + c → a(x + b/(2a))² + c − b²/(4a)
https://t.co/KoXuAIlnEH
#vertexform#quadraticgraphs
Desmos has released its new Notebook feature.
This is another game changer in modern mathematics.
You can see some examples of the Notebook feature in action right here:
https://t.co/HzhyafXOTc
#graphing#desmos
Differentiating vector-valued functions in ℝ³ from first principles.
The derivative of
C(t) = ⟨x(t), y(t), z(t)⟩
is obtained componentwise:
C′(t) = ⟨x′(t), y′(t), z′(t)⟩
giving the instantaneous velocity vector and tangent direction to the curve.