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  2. Differentiation of trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Differentiation_of...

    The differentiation of trigonometric functions is the mathematical process of finding the derivative of a trigonometric function, or its rate of change with respect to a variable. For example, the derivative of the sine function is written sin ′ ( a ) = cos( a ), meaning that the rate of change of sin( x ) at a particular angle x = a is given ...

  3. Differential calculus - Wikipedia

    en.wikipedia.org/wiki/Differential_calculus

    [2] The primary objects of study in differential calculus are the derivative of a function, related notions such as the differential, and their applications. The derivative of a function at a chosen input value describes the rate of change of the function near that input value. The process of finding a derivative is called differentiation.

  4. Fundamental theorem of calculus - Wikipedia

    en.wikipedia.org/wiki/Fundamental_theorem_of...

    The first published statement and proof of a rudimentary form of the fundamental theorem, strongly geometric in character, [2] was by James Gregory (1638–1675). [ 3 ] [ 4 ] Isaac Barrow (1630–1677) proved a more generalized version of the theorem, [ 5 ] while his student Isaac Newton (1642–1727) completed the development of the ...

  5. Proofs of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/Proofs_of_trigonometric...

    This geometric argument relies on definitions of arc length and area, which act as assumptions, so it is rather a condition imposed in construction of trigonometric functions than a provable property. [2] For the sine function, we can handle other values. If θ > π /2, then θ > 1. But sin θ ≤ 1 (because of the Pythagorean identity), so sin ...

  6. What I thought was just a bug bite turned into an infection ...

    www.aol.com/news/otherwise-average-day-almost...

    The rest of the evening passed in a blur. We lit the menorah, gave the kids their gifts, and I forgot all about the bump. But in the middle of the night, a throbbing feeling in my shoulder ...

  7. Derivative - Wikipedia

    en.wikipedia.org/wiki/Derivative

    In mathematics, the derivative is a fundamental tool that quantifies the sensitivity to change of a function's output with respect to its input. The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point.

  8. Missing Hawaiian woman crossed freely into Mexico, Los ...

    www.aol.com/news/missing-hawaiian-woman-crossed...

    Hannah Kobayashi, a Hawaiian woman who has been missing for weeks, walked freely into Mexico just after noon on Nov. 12, the Los Angeles Police Department said on Monday. The department said the ...

  9. 17 Genius Ways To Repurpose Leftover Soup - AOL

    www.aol.com/17-genius-ways-repurpose-leftover...

    1. Add to Grains. Turn yesterday’s soup into today’s healthy bowl. Start with a base of grains like rice, farro, or quinoa. Add roasted veggies and a protein.