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不定积分∫ (secx)^2dx解法因为tanx的导数是 (secx)^2, 即tanx是 (secx)^2的一个原函数，所以∫ (secx)^2dx＝tanx+C。 ∫ tanxsec²x dx = ∫ tanx dtanx= (1/2)tan&#1.

2024年7月25日 · Sec2x is the square of the trigonometric function secant x, generally written as sec x. In this article, we will discuss the derivative of sec^2x, various methods to find it including the chain rule and the quotient rule, solved examples, and some practice problems on it.

Differentiate using the chain rule, which states that d dx [f (g(x))] d d x [f (g (x))] is f '(g(x))g'(x) f ′ (g (x)) g ′ (x) where f (x) = sec(x) f (x) = sec (x) and g(x) = 2x g (x) = 2 x.

Mathematically, we can write the derivative of sec^2x as d (sec^2x)/dx = 2 sec 2 x tanx. We can evaluate the derivative of sec^2x using different methods of differentiation including the chain …

2023年3月20日 · What Is the Derivative of Sec^2x? The derivative of s e c 2 x is equal 2. s e c 2 (x). t a n (x), and mathematically, it is written as d d x s e c 2 x = 2. s e c 2 x. t a n x.

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2024年7月7日 · 本文将详细探讨sec2x的导数是什么，以及如何求解它。 首先，我们需要了解sec2x的含义。 sec2x是secant函数（正割函数）的平方，即sec2x = (sec x)^2。 sec x是余弦函数的倒数，即sec x = 1/cos x。 因此，sec2x = 1/ (cos x)^2。 那么，如何求sec2x的导数呢？

2023年4月8日 · Find the derivative of the trigonometric function sec2x, where secant is the inverse function of cosine. Find out how in this guide!

Remember sec2x= 1/cos2x. You can use the chain rule to take the derivative: dxd (cosx)−2 = −2(cosx)−3(−sinx) = 2tanxsec2x.