find x 3tan(x-15)=tan(x+15)

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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: Evaluate d -tan − ¹ (√x + 7) = dx

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Q: Differentiate g(x) = (In(x² + 1) – tan-ª(6x))10

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

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Q: Find ∫(sec x/ tan2 x) dx.

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Q: Find the upper bound on the error if tan '(2x²) × 2x² and þx|< 0.2

A: In this question, we find the error bound for the given expansion tan-1(2x3)≈2x3 for |x|&lt;0.2 We…

Q: 2 cos(8x) – 8 x² – 2 lim - sin(3x) — 2? — За

A: Here we apply l Hopital's rule.

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: Find 7/3 tan'x sec*x dx 27.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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

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

Q: 4 tan(x) sec2 (x) tan(x) + 1

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Q: 7. Let y = tan (3x - 2), find y'.

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Q: Find F(x), f"(x) and f''(x) for f(x)=13x2+ sin(15x).

A: Given,            fx=13x2+sin15x

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

A: follow next step

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

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Q: (tan'x de 3 1. [cse* xdx 4 2. csc"xdx 3. |tan 3x sec 3xdx

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Q: Find tan x if sec x = 1.642 and 0<x < Tt/2.

A: Given, sec x=1.642

Q: tan x - dx 2 sec x – tan x 2.

A: Topic:- integration

Q: Let cos x = 3/4 with x   tan  2 x

A: The problem is not clear. I'm considering x lies in the first quadrant. Given: cos x=34 That implies…

Q: If f(x) = 7 sin(8a)sin-(x), f'(x) -

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Q: 7csc 2X= sec x Sin X

A: topic - trigonometric Identity

Q: 4. f(x)=x tan² (-)

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

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Q: Show that tan3x tan 2x tan x = tan3x – tan 2x – tan x %D

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Q: = 1 + 3y tanx

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Q: x" - x' - 2x = sin3t

A: Consider the given differential equation, x''-x'-2x=sin3t make the auxiliary equation,…

Q: Determine the sum of the coefficient/s when we evaluate (sec(x) – tan(x))²dx.

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Q: If f(x) = 3 tan-'(3 sin(3x)), f'(æ) =

A: The given function f(x)=3tan-13 sin(3x)

Q: How would you evaluate∫tan10 x sec2 x dx?

A: given ∫tan10 x sec2 x dx

Q: 5- Evaluate: f Sin (2x7 - 3) dx x6

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Q: 5) f(x) = tan [In{sin(15x - 30)}] %3D

A: For this problem we have to apply derivation to each term.

Q: ex-e2 1. lim x→2 x-2 x2 2. lim X0 sin 5x2 3. lim 5 cos 3x2-5 sin 8x2

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Q: 14) y = tan (x) b. a. 10- 10- -10- c. 10- 10- 10-

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Q: 1 4. y = tan-x 4

A: To draw the graph of the following function  4. y = tan(x/4)

Q: Is ƒ1x2= sin-1 x an even or odd function? Is ƒ′1x2 an even or odd function?

A: We have  f(x)=sin-1x Consider any odd function   y=f(x)   Then taking its inverse: x=f−1( y )∴…

Q: (B) Evaluate | tan (7x +1) sec³(7x +1) dr.

A: We will use simple integration rules to solve this question.

Q: Find (f-1)'(a). f(x) = tan-(x) + 6x², a = 0 (f-1)(a) =

A: To find the derivative of inverse functions

Q: find x sin-1(1-x)-2sin-1x=90 degree

A: sin-1(1-x)-2sin-1x=90 degree

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: ∫(〖sec〗^2 xdx)/(1+tanx)

A: Given: ∫sec2xdx1+tanx

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Q: Evaluate  ∞  ∫ tan^-1 (x) dx  -∞

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Q: 5) 3tan-1x + sin-1x = 4

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Q: y = 3 tan 2x + tan³ 2x

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Q: sec x is undefined

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Q: Show that:- tan-1 x + tan-1 y = tan-1 x+y 1-ху

A: We need to show the following identity tan-1x + tan-1y = tan-1x+y1-xy

Q: Q1) Solve:- 1) lim x-2n 2x-4n 2) lim X(1-cosx) x-0 tan(tan2x)

A: 1)