Derivative of log secx
WebFor one, you have to be quite careful about specifying your domain. – Emily. Nov 27, 2013 at 1:46. I am not quite sure of the derivative of x^x. I know that the derivative of a^x is d / dx (x) * ln (a) though. – user1804933. WebMar 11, 2024 · Derivative of Sec X Using First Principle. We will use first principles (or the definition of the derivative to demonstrate that the derivative of sec x is sec x tan x. …
Derivative of log secx
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WebNov 10, 2016 · Calculus Differentiating Trigonometric Functions Derivatives of y=sec (x), y=cot (x), y= csc (x) 1 Answer Steve M Nov 10, 2016 f '(x) = (1 + xtanx)secx Explanation: If you are studying maths, then you should learn the Product Rule for Differentiation, and practice how to use it: d dx (uv) = u dv dx + du dx v, or, (uv)' = (du)v +u(dv) WebIn this video, I demonstrate how to find the derivative of sec(x) by realising first that sec(x) = 1/cos(x), which then leads to the use of the quotient rule...
WebFree Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step WebYou can prove the sec x and cosec x derivatives using a combination of the power rule and the chain rule (which you will learn later). Essentially what the chain rule says is that …
WebAug 18, 2016 · So the derivative is -ln (a)/ ( (ln (x))²)· (1/x). Alternatively, we can use implicit differentiation: given y=logᵪ (a), we write x^y=a. The left-hand side is e^ (ln (x^y)), or e^ (y·ln (x)). Differentiating both sides now gives e^ (y·ln (x))· [y'ln (x)+y/x]=0. … WebOct 21, 2024 · Below is an attempt to derive the derivative of f ( x) = { 1, if x ∈ Q − 1, if x ∉ Q } using the product rule. In which step, if any, does an error first appear? Step 1) f ( x) ⋅ f ( x) = 1 Step 2) d d x [ f ( x) ⋅ f ( x)] = 0 Step 3) f ′ ( x) f ( x) + f ( x) f ′ ( x) = 0 Step 4) f ′ ( x) = 0 Share Cite Follow edited Oct 23, 2024 at 1:29
WebDec 11, 2014 · What is the derivative of sec−1(x)? Calculus Differentiating Trigonometric Functions Differentiating Inverse Trigonometric Functions 2 Answers Wataru Dec 11, 2014 Let y = sec−1x. by rewriting in terms of secant, ⇒ secy = x by differentiating with respect to x, ⇒ secytany ⋅ y' = 1 by dividing by secytany, ⇒ y' = 1 secytany
WebThe derivative of the logarithmic function is given by: f ' ( x) = 1 / ( x ln ( b) ) x is the function argument. b is the logarithm base. ln b is the natural logarithm of b. For example when: f ( x) = log 2 ( x) f ' ( x) = 1 / ( x ln (2) ) See also Logarithm calculator Natural logarithm calculator Natural logarithm - ln x e constant Decibel (dB) dvd player for windows 10 redditWebderivative of sec^2(x) Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music… dvd player for toshiba laptopWebWhat is the derivative of secx? The derivative of $\sec x$ is simply the product of $\boldsymbol{\sec x}$ and $\boldsymbol{\tan x}$ as shown below. \begin{aligned}\dfrac{d}{dx} \sec x = \sec x \tan x\end{aligned} We can use this rule to differentiate functions such as the ones shown below. dvd player for win10WebCalculus. Derivative Calculator. Step 1: Enter the function you want to find the derivative of in the editor. The Derivative Calculator supports solving first, second...., fourth derivatives, as well as implicit differentiation and finding the zeros/roots. You can also get a better visual and understanding of the function by using our graphing ... dusty charcoal exterior paintWebThe Derivative Calculator lets you calculate derivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice … dvd player for windows 11 free downloadWebIts correct answer is tanx. Explanation; y=log (secx) diff. with respect to x. dy/dx =d/dx (log (secx)) dy/dx=1/secx *secx.tanx. dy/dx=tanx. dvd player for win 11WebFind the Derivative - d/dx x^(sec(x)) ... Tap for more steps... Rewrite as . Expand by moving outside the logarithm. Differentiate using the chain rule, which states that is where and . … dusty concrete basement floor