57. Let f(x) = lim (a) cos (tan 1) COS X n→∞ 1+ (tan then the value of f f(x) dx is equal to: 0 tan (tan 1) in b)sin (tan 1) (d) none of these f'()=1 and f'(5)=7

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Q: ) Here we have find Litezt sinst} NOW, L{ sinot} g+62 - 3(4), say s436 So, L{t sindt} = (-1)' ges)…

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Q: Let h(z) tan(5x + 5). Then h' (2) is and h'' (2) is

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Q: Which of the following functions listed below will result in differentiating f(r) = cosh(r) +e a…

A: Option A is correct.  If we differentiate for the first time we get f'(x) = sinhx - e^(-x)  Again…

Q: Let h(t) = tan(3t + 8). Then h'(5) is and h"(5) is

A: As we know that the chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1   Given: ht=tan3t+8 Now…

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A: Given,

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Q: For the function y (ƒ−¹) '(11) = - ƒ(x) = x² − x − 5, x ≥ 0.5, find - - df dy 1 y=11

A: As per the company guildlines we can solve one question. Please understand.

Q: dx - = In[F(x)]+C•What is F(3) if C= 0? For (1+*;_u®L x)(g*+ x)

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Q: For f(x) = {2-cosxx find /(-2) + f(0).

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Q: d) S x?cos (x) dx 2 a) Find f' given that f(x) = cos' (3x+1) %3D sin3x-sin 6x b) Evaluate lim x-+0

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Q: If f(x) x²-4 x -4 x = In[sin x √x² - 4], what is f '(x)? + cot x cot x + tan x - tan x

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Q: Let f (x) = 2 tan (5x). Find the values of the coefficients in the expressions for f'(x) and f " (x)…

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Q: Let f" (x) = 6x - sin x. ƒ' (0) = 1, f(0) = 2. Find f(x) ○ x³ O x³ + sin x + 2 ○ x³ – sin x + 2 ○ x³…

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Q: C) It is given that f(r) = tan¯*(1 +x). (i) Find f(0) and f '(0), and show that f "(0) =

A: Given Fx=tan-11+xwe find F0,F'0 and prove F''0=-12

Q: Let f(x) = 6 sin ¹(x²). Then f'(x) equals 12x √1-x² 1 1- x4 6 /1-x² 12x cos−¹(x²) 12x √1 x4

A: The objective is to find the derivative of f(x).

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Q: Let f(x) (3 sin a + 2 cos x)tanx f' (x) =

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Q: Find the derivative (dy/dx) of the following functions: I) y = (sin x + cos x) sec x

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A: f(x) -> Red graph g(x) -> green graph

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Q: Let f(x) the function defined below, where -1 < x < 1. TX f(x) = 2 + x2 + tan 2 (a) Find f-1(2). (b)…

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Q: Let f(æ) -4 cos x + 8 tan x f'(x) = r(#) - 27 f' 3

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