The derivative of sec x with respect to x is written as d/dx(sec x) and it is equal to sec x tan x. Let us learn more about the differentiation of sec x along with its formula, proof by different methods, and a few solved examples.

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2023年5月26日 · The derivative of secant x with respect to x is given by the formula d/dx(sec x) = sec x tan x. This expression represents the rate of change of the cosine function, cos x, which is the ratio of the adjacent side to the hypotenuse in a right triangle.

2025年2月25日 · Secant times tangent, or \sec x .\tan x is the derivative of the secant function (x). where A denotes the angle, c the hypotenuse, and b the adjacent side. This derivative can be proven using limits and trigonometric identities. \frac {d} {dx}\left ( \sec x \right ) \left ( \sec x \right )’ =\sec x .\tan x. Learn about Derivative of Sec Square x.

Find the Derivative - d/dx x^(sec(x)) Step 1. Use the properties of logarithms to simplify the differentiation. Tap for more steps... Step 1.1. Rewrite as . Step 1.2. Expand by moving outside the logarithm. Step 2. Differentiate using the chain rule, which states that is …

2023年1月21日 · The derivative of secx with respect to x is denoted by the symbol $\frac{d}{dx}$(sec x) or (sec x)$’$ and it is equal to secx tanx. Using the fact $\sec x =\frac{1}{\cos x}$, we can find the derivative of sec x by the chain rule and quotient rule of derivatives.

Here you will learn what is the differentiation of secx and its proof by using first principle. Let’s begin –. The differentiation of secx with respect to x is secx.tanx. i.e. d dx (secx) = secx.tanx. Let f (x) = sec x. Then, f (x + h) = sec (x + h) ∴ d dx (f (x)) = limh→0 f(x+h)–f(x) h. d dx (f (x)) = limh→0 sec(x+h)–secx h.

To find the derivative of sec (x), we can use the chain rule. The derivative of sec (x) is given by: First, we can rewrite sec (x) as 1/cos (x). Next, we can use the quotient rule to differentiate 1/cos (x). The quotient rule states that for a function u (x)/v (x), the derivative is given by: In our case, u (x) = 1 and v (x) = cos (x).

2016年6月5日 · #sec(x)=1/cos(x)# So we want to calculate. #d/dx1/cos(x)=d/dx(cos(x)^-1)# for the chain rule this is equal to. #d/dx(cos(x)^-1)=-cos(x)^-2*d/dxcos(x)# #=-1/cos(x)^2*(-sin(x))# #=sin(x)/cos(x)^2# or, if you prefer, it is #=tan(x)sec(x)#.