How to Differentiate Trigonometric Reciprocals
To calculate the derivatives of reciprocal trigonometric functions (secant, cosecant, and cotangent), you’ll use the basic trigonometric functions (sine, cosine, and tangent) along with the chain rule or quotient rule. Here are the formulas and steps: Secant: If secant only had one variable in it ( \(x\) for example) : \( f(x) = \sec(x) = […]
Peaks and Valleys: A Journey Through the Extreme Value Theorem
The Extreme Value Theorem guarantees that a function continuous on a closed, bounded interval reaches both a highest and a lowest value somewhere on it. Below: the statement, why each condition is needed, the closed interval method for finding those values, and a worked optimization example. What the Extreme Value Theorem says If a function […]
