characteristic that distinguishes a) f(x) = x² and g(x) = sin x %3D b) f(x) 1 and g(x) = x %3D %3D c) f(x) = |x| and g(x) = x² %3D D %3D

Q: Find the derivative (df/dx) 1- f(x) = cscx - 4√x + 7y−² 2-f(x)=x² cotx-x-2 3-f(x) = (secx + tanx)…

A: We have to find derivative of given function.

Q: Examine the differentiability of the function f(x)=|cosx| at z 2 %3D

A: Given: f(x)=|cosx|

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: csc(x) – 1 sec(x) Differentiate: f (x) = (A f'(x) = - csc²(x)+ sin(x) B B f'(x) = - csc2(x) – cos(x)…

A: We can use differentiation of trigonometric function rules to find the derivative of the given…

Q: Let f(x) I+5 f(x)

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Q: (5) (sec-i x) =, d

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Q: Find the third derivatives of the function f (x) = e sin (2x)

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Q: 5. Use the chain rule to compute the derivatives. a) f(x) = sin²x = (sin x)² b) f(x) = sin(x²) c)…

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Q: 4) Let f(x) = - ax"+1 and a x) = 4X-3 5:) f(x) = Fxan? find the 3 first f,g and h. uch that (fo gohl…

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Q: G. (CHAIN RULE) 1. f(x) = (3x² - 2x+4)² 2. y = sin 2x 4 (a² - y²)² 4. g(x)= (3x² + 4x - 5)5 3. 2 =

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Q: Identify the function f (x). I (x) = (f (x))° = cos 2x

A: Given,          lx=fx6=cos62x

Q: f'(1). et f(x) = 3x 6x-7 Find f'(x).

A: Given query is to find derivative.

Q: tan (csc-' (2x + 1)) 2x+1 a) V4x2+4x O b) 1 V4x2+4x c) V4x2 + 4x O d) 2x + 1

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Q: F(x) = (1/x) is equivalent to F(x) = 1 +x F(x) = 1 + x1 a) b) F(x) = x-1 F(x) = 1* c) d)

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Q: s defined by + x). The value o ind off to 1 decimal

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Q: Find linearizing ( L(x) ) f(x) at x=a . where f(x) = tanx and a = π a) π b)  x - π c) π - x d)…

A: SOLUTION-

Q: Differentiate. f(x) = In (4x+5)(x+8)5 (1-4X)6

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Q: 4 (a² - y²)² 4. g(x) = (3x² + 4x - 5)5 3. 2 =

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Q: Find the range and domain of the functions (1) f (x, y) = sin-(y-x)

A: We'll answer the first question. Since the exact one hasn't specified. Please re-submit the question…

Q: Solve the equation (y - (cos x)^2)dx + (cos x) dy = 0

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Q: Determine f(x) a. f(x) = 4 sin² (x - 2) b. f(x) = 2(cos x)(sec² x)

A: (a) The given function is f(x)=4sin2x-2 Find the first derivative…

Q: MacB = (x),ƒ o (1)fp хр = (x),f o %3D (x)fp = (x),f O %3D xp = (x),f o = sin x, which of the…

A: To find the correct option.

Q: Evaluate tan" (x) sec4x dx. 1 1 (A) =tan(+3)(x) + _____tan ( + 1)(x) + C m+3 m+1 1 B) (m+3 -tan…

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Q: f(x) b-a dx = 2 Prove f(x)+f(a+b-x) a

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Q: f(x) = sec x As x = π-/2, f(x) =  As x = π+/2, f(x) =

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Q: Let f (x) = (10x + 6)(x – tan x). Then %3D - f'(x) =

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Q: (a) [In(4) - 2e¹³] dx d b) dx d (c) [2²² - 1 (2²)] = 4e³x In(x [sec (12r) + tan-¹(2x)]

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