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Applying the derivative of the exponential function
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$\ln\left(\pi \right)\pi ^{\tan\left(\frac{n^2+1}{2n^2}\right)}\frac{d}{dn}\left(\tan\left(\frac{n^2+1}{2n^2}\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of pi^tan((n^2+1)/(2n^2)). Applying the derivative of the exponential function. The derivative of the tangent of a function is equal to secant squared of that function times the derivative of that function, in other words, if {f(x) = tan(x)}, then {f'(x) = sec^2(x)\cdot D_x(x)}. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}. The power of a product is equal to the product of it's factors raised to the same power.