inverse function Archives - Infinity is Really Big

September 20, 2019September 26, 2019

The Derivative of y = x^2

Calculus 1, Lectures 4A through 5B

The derivative of x^2 at an arbitrary value of x is 2x. This is the slope of the tangent line at that point. — The derivative of $y=f(x)=x^{2}$ at an arbitrary value of $x$ is equal by $2x$ . This is the slope of the tangent line at that point and is approximated by $2x+\Delta x$ , which are slopes of secant lines.

y=f(x)=x^{2} — The derivative of $y=f(x)=x^{2}$ at an arbitrary value of $x$ is equal by $2x$ . This is the slope of the tangent line at that point and is approximated by $2x+\Delta x$ , which are slopes of secant lines.

Lectures 4A through 5B of my series of Calculus 1 lectures have a lot of content. I will summarize the

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July 29, 2019September 24, 2019

The Inverse Matrix of a Linear Transformation

Visual Linear Algebra Online, Section 1.9

The inverse of a rotation is another rotation by the same angle, but in the opposite direction.

Inverse functions are a kind of high-technology in mathematics. They can help you solve infinitely many problems at once!

In linear algebra, some linear transformations on finite-dimensional Euclidean space ${\Bbb R}^{n}$ have inverse functions. Those that … Read the rest