Find f), (b) f(r) tan(2r)

Q: D₂ tan³ x = 3 sec O 3 tan² z O secr O 3 tan² z sec²

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Q: If f(x) = cos x – 7 tan æ, then f'(z) -sin( x ) – 7 sec²(x) = f'(2) =

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Q: Where are the functions f1(x) = ∣sin x∣ and f2(x) = sin ∣x∣ differentiable?

A: We graph f1(x) = ∣sin x∣  using a graphing calculator. We see that, at x=nπ, there are cusps.…

Q: Differentiate the function. f(x)  = In (Sin2x)

A: Use chain rule

Q: Find sec42x -dx tan 2x A --—-—-cot²2x-—-—-cot³21+ C 16 cot82x) (4sec22x-1) B -(cort2x) 4 12 11 1 C)…

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Q: Find f' (x) where f(x) = -5x² - 2 cos (x).

A: fx=-5x2-2cosxUsing  differentiation formuladdxxn=n .xn-1ddxcosx=-sinx

Q: tan x 4. f dx csc x sec (In x)dx 5. X dx 6. f 1- cos 2x

A: I have stated the used formulas in the solution

Q: Find (f-1)' (a)   f(x)  = 3 + x2 + tan (πx /2)  ,  -1 < x  <1  , a= 3

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Q: hex (4)- u- Sin"/)* " () + tan

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Q: Find sec 2x -dx. tan 2x cot82x (4sec 22x-1) (A) 12 1 1 I B 12 tan 2x 16 tan 82x Ⓒ -co1²2x-co1³21+ C…

A: Here is the solution

Q: sec dx 3 (4 – tan"x) 2

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Q: Find ∫(sec x/ tan2 x) dx.

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Q: Find (f-1)'(a). f(x) = 5 + x² + tan(7x/2), -1 < x < 1, a - 5 (F=1)'(a) •

A: Given:fx=5+x2+tanπx2, -1&lt;x&lt;1, a=5

Q: f(x) = sec(x) tan(x), then f'(3t) =

A: First derivate then put the value

Q: How would you evaluate∫sec12 x tan x dx?

A: Consider the following integral: Consider the following equation as shown in below:

Q: What is special about the functions f(x) = sin x - 1 x + 1' x 2 0, and g(x) = 2 tan Vĩ? -1 Explain.

A: Given that functions are f(x)=sin-1x-1x+1, x≥0 and g(x)=2tan-1(x). The graph of the function…

Q: If f(x) =tan(3x) find f'(4)=?

A: Differentiating with respect to x, we get

Q: d (sec x) show that secx tan x. dx

A:

Q: 2 y- tan(x) 1- -2 -1 1. -2-

A: follow next step

Q: 15. f (sec² x) dx / (√(1-4 tan² x))

A: Hi and thanks for your question! Unfortunately, as per our guideline, only one question should be…

Q: TTX tan 4 TTX 46. f(x) g(x) = (/2 – 4)x + 4, x = 0 %3D = sec 4

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Q: (c) Show that:- tan-x + tan-1 y = tan-1 *+y 1-xy

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Q: 2. If f(b) b-b2 ,find f (tan x). 1+b2

A: Consider the provided information, fb=b-b21+b2 Find the expression for ftanx.

Q: Evaluate tan' x sec* x 3 x dx. Use the substitution u = tan x.

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Q: Find f'(x) f(x)=ln (tan x2)

A: given function :

Q: (B) Evaluate f tan (7x +1) sec³(7x+1) dx.

A:

Q: Find, tan(x / 2)dx A) (1/2) sec (x/2)+c C) 2 sec (x/2)+c B) 2m sec(x/ 2)+c D) (1/2n sec(x/2) +c

A: Given that a integration of tan(x/2) and we solve it by using general formulas of integration. We…

Q: g(x) = tan(sin²(x)) + e², +e?

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Q: 4. f(x)=x tan² (-)

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Q: 2. Differentiate the function. f(x) = e* tan x +7 cos x

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Q: tan x sec' x dX

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Q: Find the general solution for y' = sec x + y tan x %3D

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Q: f(x) = cos3(4x-1) Differentiate the equation

A: Given that: f(x)=cos3(4x-1)

Q: | tan x sec* x dx

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Q: sin(cos y) y 4-lim, 2

A: Limit Solved .

Q: sec' x dx 1- tar

A: We use Trigonometry substitution method

Q: If f(x)= (tanx+ 2e¯* ,x > 0 Then f' (0) =

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Q: y = sec² x tan(2x)

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Q: sec x tan x dx 9+4se ²x 2.

A: We have to evaluate the integral: ∫sec x tan x9+4 sec2 xdx Solving the given integral by…

Q: What is the of y = (tan-¹4x)² ? 2 - 2tan ¹4 1+16x² 1 8tan ¹4x 1+16x² 2tan-1 ¹4x 1+16x² -1 8tan ¹4x…

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Q: )etan²x f'(x) = (tan² x)et %3D Option 2 g tan?x f'(x) = (2 tan x)e

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Q: (폭), Let f (x) = x5 sin- Then %3D f'(x) =

A: Given that, fx=x5arcsinx27To find f'(x)

Q: Differentiate: f(x)= CSCX - 1 || %3D secx A f'(x) = cosx- sec?x B f'(x) = - csc?x + sinx C. f'(x) =…

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Q: 4 sec2 x tan ydx + sec² y tan xdy = 0.

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Q: Tan(3(x+iy))

A: Given below the detailed solution

Q: 2 tan (x) sec (x) dx

A:

Q: Evaluate sec x dx /In(sec x + tan x)

A: