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Simplify the expression $\frac{\tan\left(x-\frac{\pi}{6}\right)}{6x-\pi }$

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Derivative

$\frac{d}{dx}\left(\frac{\tan\left(x-\frac{\pi}{6}\right)}{6x-\pi }\right)=\frac{\left(6x-\pi \right)\sec\left(x-\frac{\pi}{6}\right)^2-6\tan\left(x-\frac{\pi}{6}\right)}{\left(6x-\pi \right)^2}$ See full solution

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SimplifyWrite in simplest formFactorFactor by completing the squareFind the integralFind the derivativeFind tan(x-0.5236)/(6x-3.1416) using the definitionSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

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Main Topic: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

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