Find f" (x) if f (x) = tan(x² − 1). ○ 2 sec² (x² - 1) ○ 2 sec² (x² − 1) (1 + 4x² tan(x² − 1)) ○ 2 sec² (x² - 1) (1 + tan(x² − 1)) ○ 2 sec (x² − 1) (sec (x² − 1) + 4x² tan(x² − 1)) O None of these

Q: Find g'(x) if g (x) = 5√x tan x. 5(2 cot x+tan x) 2√x 5 tan x(2x sec x+1) 2√x 5(x sec² x+2 tan x)…

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Q: If f(x) = 3 tan¯¹(6 sin(4x)), f(z) = Question Help: Video

A: Given that fx=3tan-16sin4xTo find :Derivative of fxSolution…

Q: Let f'(x)= = f(x) = x² tan ¹(7x)

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Q: If f(x) = tan (3x), then f'(x) = (A) 12 tan (3x) sec?(3x) (B) 4 tan (3æ) sec2(3x) (C) 12 tan (3x)…

A: derivative

Q: If f(x) = = sin (3 – x), then f'(0) O 6 sin 3 cos 3 O 6 cos 3 O -2 sin 3 cos 3 O -2 cos 3 -2 cos O 2…

A: f(x)=sin2(3-x)

Q: 2. Find the 2nd derivative of sin (x²-1) y *2cos(x^2-1) 4x^2 tan(x^2-1) 2cos(x^2-1) + 4x^2…

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Q: Let f(x) 4 cos x + 2 tan x f' (æ) = r(금)- f'

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Q: If f(x) = cos a- 5 tanx, then %3D f'(x) = %3D f'(5) =

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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: If f(x) = f'(x) = f'(4) = tan x - 5 sec x 3x² tan(x) sec(x) X

A: The Quotient Rule:Use the common derivatives:

Q: tan x – 2 f(x) sec x find f' (x). (1+2tan(x))/sec(x) Find f'(). (1+2tan(pi/6))/sec(pi/6)

A: To solve the derivative of the following function.

Q: sec x Given f(x) = 1. tan r then f'(x) = 1 – g(x) Find g(x). sec x g(x) =

A: We xan solve it by doing derivative by parts method.

Q: Find the first derivative of y = Arc tan √x² −1+ Arc csc x 2 O 2 O 0 2 Ox√²+1

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

Q: Wouldn't tan(x+pi)-(-sin(x)) yield tan(x+pi) + sin(x)) instead of tan(x+pi) - sin(x))?

A: Yes , there is a mistake on that question. I give u correct solution .  tan(x + π) - cos( x + (π/2))…

Q: Let f(x) = tan ¹(sin(8x)) f'(x) = > Next Question

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Q: Let h(x) = tan(3x + 4). Then h' (2) is and h'' (2) is

A: The function is given by hx = tan3x+4 To evaluate: The values of h'2 and h''(2)

Q: If f(x) = 7 tan-(2 sin(4)), f'(2) =|

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Q: f(x) = 8 cos x 5 tan x.

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Q: Let f(x) = x² tan-'(8x) f'(x) =

A: Given: Now,

Q: If f(x) = 2 tan-'(8 sin(4x)), f'(x) =

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Q: If f(x) f'(x) = COS x 3 tan x, then - f' (5) =

A: Derivative of cosx is -sinx.

Q: If find f'(x) f(x) = = 5x² tan x sec x

A: Given :fx=5x2tanxsecx

Q: If f(x) f'(æ) = cos x – 7 tan x, then

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Q: 1 If f(x) = 8 tan¯¹(8 sin(2x)), f'(x) =

A: Differentiate

Q: If f(x) f'(x)= = 3x sin x cos x, find Find f'(5): =

A: 1) f(x)=3 sinx cosx 2) f(x)=8cosx+6tanx.

Q: tan x – 2 If f(x) sec x f'(x) = f'(4) =

A: f(x) = (tan x - 2)/sec x f(x) = (tan x/sec x) - (2/ sec x)        = (sin x * cos x /cos x) - (2 cos…

Q: Let h(x) = tan(3x + 7). Then n'(5) is and h'"(5) is

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Q: Differentiate: y = sec(5a- 3x) %3D O y' = - (1522 -3) sec(5r-3r) tan(5a-3r) %3D O y' = (152- 3) sec2…

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Q: [(2tan(x)/1+sec(x))+(2+2sec(x)/tan(x))]=4csc(x)

A: Consider the left hand side,

Q: O find fx) if CoSx @ £(x)=. Sin X O flx) = x-4CSC x+2 Cot X © f(x)= (x).cotx 3- COSX. CSCX

A: SOLUTION-

Q: Let Find: f'(x) = f'(8π): - f(x) = 9 tan(x) +7 sec(x)

A:

Q: = If f(x) = f'(x) = ƒ'(5) = 4 tan x, then - sin(x)-4 sec² (x) Cos x

A: