Given h(x) = tan -1 ), find h'(x). 2 4 A) sec 2 sec (B) 4 +x² (C) 4 +x2 (D)

Q: Suppose that f(2) = 2. f'(2) = 8, g(2) = 2, and g'(2) = -2. If F(x) = (f • g)(x) and G(x) = (g •…

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Q: tan (x) = sec (x)

A: We know that  tan(x) = sin(x)/cos(x)  Sec(x) = 1/cos(x)  So ,  sin(x)/cos(x) = 1/cos(x)

Q: If f(x) = 7 sin-(*), then f'(2) - =

A: dsin-1xdx = 11-x2 dxndx=n.xn-1

Q: Help me solve this with all steps

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Q: y = sech /2 + v2x + 1 + tanh v8x² + 3

A: To find the derivative of the function

Q: Does cot(x) + tan(x) = csc(x) * sec(x) ?

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Q: If f(x) = 5 sec (3x), find f'(x). 15 sec (3x) tan (3x) Find f'(3).

A: We are given that f(x)=5 sec(3x)From the first part, we get f'(x)= 15 sec(3x) tan(3x)Now, we need to…

Q: Let h(x) =tan(3x + 5). Then h' (4) is 3 sec² (17) 2 and h''(4) is

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Q: Find F '(x). sin(x) F(x) Jo

A: Given data:     The given expression for the integral of the function is: .   The expression for the…

Q: Determine f " (x) a. f(x) = cot (4x) + csc (x) b. f(x) = sin2 (x) tan(x)

A: Given a. f(x)=cot4x+cscxb. f(x)=sin2xtanx

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: tan a 5 f(x) = sec a find f' (x). Find f'().

A: We have to find the derivative of the given function

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: (c) / sec/3 (x) tan' a dx ,1/3,

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Q: Please

A: Consider the given function f(x) = x tan x

Q: limx→0 (sin6x)/(tan6x)

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Q: Let f (x) = - x² – 3. Find and simplify ƒ' (x) and ƒ" (x). x5 f" f'(x) = A = -3 B C = || f" (x) D E…

A: Given Function f( x ) as follows

Q: x D) y = V1 - sin 2.x

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Q: 3x2 tan x Given f(x) answer the following: sec x a) f'(x) = b) f'(5)

A: a. consider the given function, fx=3x2tanxsecx substitute tanx=sinxcosx and secx=1cosx and simplify,…

Q: If f(x) = 2 sin(x) + 3x", find f' (3). f' (3) =

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Q: 2x2 tan x f(x) sec x

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Q: ● ftan(x) sec(x) dx

A: We will use substitute method to solve the integration

Q: Using the Quotient Rule Find and simplify the following derivatives

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Q: Q3 A) Sketch the function y=sech' x , then write the properties of this function. 30 B) Evaluate Two…

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Q: 1) For each of the following functions, f(x), find f'(0). (a) f(x)= –30x² + 3x (b) f(x) = x²e"…

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Q: O 16xsec²(4x²)tan(4x²)

A: Given that the function

Q: df. ƒ "''(x) = cos(x), f(0) = 8, f'(0) = 7, ƒ "(0) = 8

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Q: Find f'(x) for f(x) = sin?x · tan (x² – 3x + 1)5).

A: We will find the derivative.