Derivative of log secx
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) Web>> Derivative of Exponential and Logarithmic Functions >> Differentiate with respective to x : log. Question . Differentiate with respective to x: lo g (sec x + tan x) Easy. Open in …
Derivative of log secx
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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 … 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,
WebFind 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) WebDerivative of Polynomial Functions using Log Differentiation. Derivative of Trigonometric Functions using Log Differentiation. Derivative of Inverse Trigonometric Functions …
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 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 …
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. chip challenge 2020WebSep 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. grant hill churchWebApr 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 cosine function can be written as the combination of two functions. The first derivative of (ln (x)^ {sec (x)}) is. (\sec x)' = \left ( \dfrac {1} {\cos x}\right)' = \dfrac {\sin x ... chip chairsWebOct 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 chip chandler obituaryWebFree Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step grant hill crossoverWebOct 19, 2024 · So, we use log sec x plus tan x upon sec x plus tan x into the derivative of sec x plus tan x upon dx. However, log x is equal to 1, and log sec x plus tan x equals … grant hill christian laettnerWebFind 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 . … chip champ create