Derivative of log secx

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August undefined, 2024

WebOct 31, 2024 · What is the derivative of 2 sec x? The derivative of 2 sec x is similar to the secx differentiation. It is 2 secx . tanx. It is written as; $$\frac{d}{dx}(2\sec x) = 2\sec x\tan x$$ What is secx equal to? The secant is equal to the ratio of 1 and cosine. Since the cosine is the ratio between base and hypotenuse of a triangle. WebIts 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.

Derivative of Sec x - Formula, Proof of Differentiation of Sec x by ...

WebApr 11, 2024 · The derivative rule for ln [f (x)] is given as: Keep track of the chain rule always,. The derivative of secx can be calculated by using chain rule because the … WebCalculus. 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 ... northeastern states with capitals

Derivative Calculator with Steps : log(sec(x))

WebFind 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 . … WebSep 7, 2024 · Learning Objectives. Find the derivatives of the sine and cosine function. Find the derivatives of the standard trigonometric functions. Calculate the higher-order derivatives of the sine and cosine. northeastern state softball

Derivatives of sec(x) and csc(x) (video) Khan Academy

Ex 5.7, 9 - Find second order derivatives of log (log x) - teachoo

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) WebAdd a comment. 0. Derivatives of powers are conveniently obtained using logarithms. y = x ln ( x) sec ( x) 3 x = e ln 2 x + 3 x ln sec x. For later simplification, we note that by the definition of the secant, ln sec x = − ln cos x. Then the derivative of an exponential is the same exponential. Using the chain rule, north eastern states indiaWebApr 13, 2024 · how to derivative of log(secx + tanx ) ll how to retain memories

"WebSec (x) Derivative Rule. Secant is the reciprocal of the cosine. The secant of an angle designated by a variable x is notated as sec (x). The derivative rule for sec (x) is given as: d⁄dxsec (x) = tan (x)sec (x) This derivative rule gives us the ability to quickly and directly differentiate sec (x). X may be substituted for any other variable. " - Derivative of log secx

Derivative of log secx

WebDerivative Calculator computes derivatives of a function with respect to given variable using analytical differentiation and displays a step-by-step solution. It allows to draw … WebFree Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step

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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) 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

WebWhat 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. WebSep 27, 2024 · Other derivative rules will be used as well as knowing how derivatives relate to tangent lines. 1. Find the derivative of f (x) = log 5 (3x + 5) 2. Find the …

WebDerivative 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. 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. …

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...

WebMar 31, 2024 · Explanation: We can also rewrite this using logarithm rules: y = ln(secx) = ln( 1 cosx) = ln((cosx)−1) = −ln(cosx) The derivative of ln(x) is 1 x, so according to the … north eastern state trailWebMar 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. When attempting to find the derivative, avoid using the first principle unless specifically mentioned in … northeastern state university basketballWebDec 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 northeastern state university blackboardWebBy the change of base formula for logarithms, we can write logᵪa as ln (a)/ln (x). Now this is just an application of chain rule, with ln (a)/x as the outer function. So the derivative is -ln … how to retain hydrationWebThe derivative is an important tool in calculus that represents an infinitesimal change in a function with respect to one of its variables. Given a function f (x) f ( x), there are many … northeastern state university cobb hallWebFind the Derivative - d/dx y=sec(x)+tan(x) Mathway Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Enter a problem... Calculus Examples Popular Problems Calculus Find the Derivative - d/dx y=sec(x)+tan(x) northeastern state university class scheduleWebderivative 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… how to retain ba silver status