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During his stay in Paraguay, Cabanellas de Torres wrote a biography of Dr. José Gaspar Rodríguez de Francia, dictator of that country and, in Argentina, he wrote two books on the Spanish Civil War: La guerra de los mil días (The Thousand Days' War) and Cuatro generales (Four Generals), both in two volumes, considered by the author himself as ...
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 by the cosine of that angle. All derivatives of circular trigonometric functions can be found from those of sin( x ) and cos( x ) by means of the quotient rule applied to functions such ...
Miguel Primo de Rivera permitted him to go into the reserves in 1926, which led him to participate in a revolt frustrated in 1929. For his support of the republicans, on 17 April 1931 the provisional government of the Republic named him commander-in-chief of Andalusia .
In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions. Let () = (), where both f and g are differentiable and () The quotient rule states that the derivative of h(x) is
The original proof is based on the Taylor series expansions of the exponential function e z (where z is a complex number) and of sin x and cos x for real numbers x . In fact, the same proof shows that Euler's formula is even valid for all complex numbers x .
The electric vehicle market could get a huge influx of cheaper cars — but not fresh from the factory. In its latest EV intelligence report, consumer research firm J.D. Power projects that a ...
for the nth derivative. When f is a function of several variables, it is common to use "∂", a stylized cursive lower-case d, rather than "D". As above, the subscripts denote the derivatives that are being taken. For example, the second partial derivatives of a function f(x, y) are: [6]
In mathematics, the derivative is a fundamental tool that quantifies the sensitivity of 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.