tan"x jun's de - | tan"-x dx (n 1) n- 1 tan x sec" r sec x dx (n 1) n- 1

Q: Let 1(2) = sin(rz) (1- h)? + k :>: (a) Find values of h and k so that ƒ is a differentiable…

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Q: secx tan.x 5) 1+ sec x

A: Use the method for substitution.

Q: * /Q18 When x = acsc 0, ÷tan 0 = a

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Q: x sin if x # 0 Show that the function f(x)= is differentiable at x = 3D0 and f '(0)= 0. if x = 0

A: A  function is  differentiable at  point c if L f'c=R f'cwhere L f'c=limx→c-fx-fcx-c   =left hand…

Q: tan(x) Which of the following is the derivative of q x e sec² (x)-e" tan(x) e2z None of the above e"…

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Q: Find the derivative of each function. し-X a) f(x)=7x² tanx -1 %3D u du ol x v du そar1 (x)2x tan…

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Q: let f(x) = { x3 tan-1(1/x) if x cannot = 0                 { 0 if x=0  determine whether f'(0)…

A: We can solve the given problem using differentiation of given function.

Q: S tan5 x dx O 1/4 sec^2 x(sec^2 x - 1) - In Icosx |+ C 1/4 (sec^4 x - sec^2 x -In Icosx |)+ C O 1/4…

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Q: 1-S 1-sinx dx 1-sin?x -sin²x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (1) tanx

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Q: Find derivative A) y=sin x/1-cos x B) p(x)= 3/1+10e^4x Simplify answer

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Q: x+ cos X Find the derivative of tan x . O A) tan x+ tan xsin x+ xsec x+secx tan? x tan x(1+sin x) O…

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Q: S(csc x cot x + 7x°)dx sec x + x'+c csc x + x' +c - sec x + x' +c - sin x + x' + c csc x + x' +c

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Q: u(s) = (tan(s))'n(94)

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Q: sec(x) tan(x)/1+ sec(x) dz

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Q: x' sin (tanx*) -1 Integrate 1+x

A: Introduction :

Q: 2. S 2 tan x secx - tan x d.r

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Q: Find f" (x) if f (x) = tan(x² − 1). ○ 2 sec² (x² - 1) ○ 2 sec² (x² − 1) (1 + 4x² tan(x² − 1)) ○ 2…

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Q: Using suitable method, show that 2 tan" (x+2) dx =- – In 2 .

A: We use integration by parts to find integral tan inverse x.

Q: integral sec2(?) tan2(?) d?

A: Given that sec2?tan2?d?To find : Integral Solution :∫sec2?tan2?d?Let, tan?=tsec2?d?=dt∫t2dtt33+c

Q: tan 0+ tan* 0 = sec* 0 - sec? 0 %3D

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Q: 4 cosecx - сotx (a) If f (x)= then find f' 4 1+ secx

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Q: 5) f(x) = tan [In{sin(15x - 30)}] %3D

A: For this problem we have to apply derivation to each term.

Q: f"(x) = cosx – tan x. f'(x) If f(x)=enx, show that = cos x-

A: The given problem is to show the following proof of identity. Given f(x) = esin(x)  we have to show…

Q: Question 2 Determine the derivative of sec(x) tan(x) O sec z + sec z tan? x 2 sec? z tan x sec x O…

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