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The Derivative of sin^2x?Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyIf u = tan x 2then du = sec x dx and tan x sec 2 x dx = u du = 1 u2 c 2 = 1 tan2 x c 2 b) Compute tan x sec 2 x dx by substituting v = sec x If v = sec x then dv = sec x tan x dx and tan x sec 2 x dx = sec x(tan x sec x dx) = v dv = 1 v 2 C 2 = 1 sec 2 x C 2 c) Compare the two results At first glance you may 2think you made a mistake;

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Derivative of sec^2(x)tan(x)

Derivative of sec^2(x)tan(x)-First Method y = cot^1(secxtanx) dy/dx = 1/{1(secxtanx)^2} d/dx(secxtanx) dy/dx = 1/{1sec^2xtan^2x2secxtanx}(secxtanxsec^2x)\( \frac{d}{dx} {tanx} = \frac{d}{dx} \frac{sinx}{cosx}\) we know that \( tanx =\frac{sinx}{cosx

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Free derivative calculator differentiate functions with all the steps Type in any function derivative to get the solution, steps and graph This website uses cookies to ensure you get the best experienceRecently Added Derivatives The Derivative of e^6x;The same lower case letter denotes an edge of the triangle and its length

Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack ExchangeChain Rule To find the derivative of this function, first rewrite it as {eq}f(x) = (\sec x)^2 (\tan x)^2 {/eq} We will use the chain rule on each term · Find the equation when the line parallel to the line 5x4y =9 and making an intercept 5 on the x axis 25 cmm 25 cm8 250 m = 250k10 6000 cm = бg_m50 mg =و العكدजनve these word problemsit's height is 1 cm and Bhim's height is 107 cm

 · Ie for the second derivative of sec^2x d/dx 2 sec^2x (tan x) Use the product rule This should be easy because now you know the derivative of, and you should know the derivativeThe derivative of tan(x) tan (x) with respect to x x is sec2(x) sec 2 (x) f '(x) = sec2(x) f ′ (x) = sec 2 (x) Find the second derivative Tap for more steps · The Second Derivative Of tan^2x To calculate the second derivative of a function, differentiate the first derivative From above, we found that the first derivative of tan^2x = 2tan(x)sec 2 (x) So to find the second derivative of tan^2x, we need to differentiate 2tan(x)sec 2 (x) We can use the product and chain rules, and then simplify to find the derivative of 2tan(x)sec 2 (x

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 · The derivative of the function secant squared of x is d/dx(sec^2(x)) = 2sec^2(x)tan(x) This derivative is obtained by applying the chain rule of differentiation and simplifying the result Sec^2(x) is a composite function that can be rewritten as (sec(x))^2 · By realising that tan^2(x)=sec^2(x) 1, the integration of these two terms evaluates to tan(x) x What is the integral of x 1?`tan(x) = sin(x)/cos(x)` To find the derivative of a fraction, apply the quotient rule `(f/g)' = (f'g fg')/g^2` Here, f would be sin(x) and g would be cos(x) The derivatives of sine and cosine

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 · Example 17 Compute the derivative tan x Let f(x) = tan x We need to find f' (x) We know that f'(x) = lim┬(ℎ→0) f⁡〖(𝑥 ℎ) − f (x)〗/ℎ Here, f(x) = tan x f(x ℎ) = tan (x ℎ) Putting values f' (x) = lim┬(ℎ→0) tan⁡〖(𝑥 ℎ) −tan⁡𝑥 〗/ℎ = lim┬(ℎ→0) 1/ℎ ( tan (xFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutorDerivative of \(tanx = sec^2x \) What Is The Derivative Of tan(x)?

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 · Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack Exchange · Therefore, it is natural for $\sec^2(x)$ to be the derivative of $\tan(x)$ The same technique will work for $\sin(x), \cos(x)$, and many others If you are uncomfortable with the algebra then it is best draw a function and its derivative on graph paperProof that the derivative of tan(x) is sec^2(x) using the limit definition of the derivative

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The Derivative of sin^3(x) The Derivative of e^x^2; · Hi, can anyone help me with the third and forth derivatives of y=tan x I get f(x)=tan x f '(x)=sec^2 x f ''(x)=2Sin x sec^3 x but am struglingThe derivative of tan x is sec 2 x However, there may be more to finding derivatives of tangent In the general case, tan x is the tangent of a function of x

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