* Find dy/dx for the function y=2 sin(3x) cos2x 4 sin (3x) sin (2x) - 3 cos (2x) sin (2x) O 6 cos (2X) cos(3X)+ 4 sin(3x) sin(2x) O 4 sin^2(3x) - 3 cos (2x) sin (2x) O 6 cos (2X) cos (3X) - 4 sin (3x) sin(2x) O 4 sin^2(3x) +3 cos (2x) sin (2x) O

Q: Find y' for the following y= (cosx)* %3D

A: Given: y=(cosx)x

Q: y'tan x sin 2y = sin² x + cos² y.

A: We need to solve y' tanx sin2y=sin2x+cos2y This can be written as: y' tanx…

Q: What is dy/dx for y=cos(sinx)? O a) dy/dx = -sin(cosx) Ob) dy/dx = sin(sinx) O c) dy/dx =…

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Q: Show that tan(y) sin(y) += cot(y) + sec(y) csc(y) 1+ cos((y) 1- cos(y)

A: NOTE: Refresh your page if you can't see any equations. . use cross multiplication

Q: Differentiate the following function y = x cos² (3x) cos² (3x)-6x sin(3x) cos(3x) O 2 cos(3x) + cos²…

A: We have to find the differentiation of the equation:    y = xcos2 (3x)

Q: If /n= ( 5x + 9 )" sinx dx , Then I,+25n(n-1) In-2=. Select one: O - ( 5x + 9 )" cosx + 5n ( 5x + 9…

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Q: S 1 dx = (x² + 1)(1 – sec(tan-1 x)) Select one: а. 1 -x + (sin(cos-1x)) b. 1 -tan(cot-1x) +…

A: Hence option (d) is correct .

Q: dy for the following functions : dx 1. Find 3(x – 1) (ans.: 5) Sec² /2x +7 15) y=\tan /2x +7 (ans.:…

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Q: y = 2sec? (4x) + tan*(4x) %3D

A: We will find the first derivative.

Q: Find f'a) for f(x)= =Sinx 1- Cos X %3D

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

Q: If f(x) = 5x2 – 6e* + sin4x, then f'(0) = O a. 6 O b. -6 О с. 2 O d. -2

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Q: Differentiate y = In ( sin² (4x)). A y' = 8 tan (4x) y' = 8 cot (4x) y' = 8 csc2 (4x) sin (8x) y' =…

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Q: 17/3 cos (t)h(sinct)) dx

A:

Q: | 1' cos(T +1) dr. COS

A: using the integration by parts

Q: 3x2-7x+8 f(x) = Find f'(x) %3D sin (5x2+9x-6)

A: Here we use division rule of differenciation.

Q: Flnd * |(sin 5x cos 3x + cos 5x sin 3x) dx cos 8x cos 3x + 3 cos5x – + c 8 + c Option 3 Option 2 cos…

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Q: Find y' where y where y = 10 sin-1 (cos (21 z)) - tan C BARANG (18 r)

A: Given: Now,             y'=10arcsincos21x-arctan18x'     =10arcsincos21x' -arctan18x'…

Q: Let f(z) = (9 sin z + 2 cosz)tan¹z

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Q: Determine the concavity of the function f(x) = cos x^2 + sin x^2 + x^2 between x = -1.5 and x = -2.5

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Q: cos( 2 cos (x/ 12)) = Select one: O None O 24 x / ( 144 + x²) O 2x ( 144 - x² )º.5 / ( 2x² - 144 )…

A: Given cos(2cos-1(x/12))We know that 2cos-1(u)=cos-1(2u2-1)Here upon comparing u=x12

Q: The derivative of y = 3cos(8x+6) is: 1. y' = 24 sin (8x+6) 2. y' = -24 sin (8x+6) 3. y' = -24 cos…

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Q: 5 cos? (- x), then f' ) %3D is

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Q: integrate (sin(x)*tan(x)-cos(x))/tan (x+1)

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Q: What is the derivative of −9 sin² (-3x³)? O-162x³ sin (-3x³) cos (-3x³) no correct answer O 162x²…

A: just differentiate the given function by using chain rule of derivative and easily find the required…

Q: Find f'(z) if f(z) = 8 cos(z) + 9 sin(z). Answer

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Q: Find f. f "(0) = sin 0 + cos 0, f(0) = 1, f'(0) = 3

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Q: cos2x- sin2 cos2x For dr=F(x) +C What is F(x)? cOSx-sinx A -3 sinx- cosX 2. Cos - COSX+sinPx 3 B…

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Q: cos2x – sin2x cos2x For -dr=-F(x)+C What is F(x)? Cosx - sinx 2 3 2 sinx + -cosx+ cosx + - sin³x 3 3…

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Q: Find f. f"(x) = cos(x), f(0) = 1, f'(0) = 8, f"(0) = 6 f(x) = sin x + 7x/2 + 7x +8|

A: We will first find the general solution of f"'(x)=cos(x)

Q: Find (d^(2)y)/dx^2 if y=sin(x)cos(x)

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Q: If f(x) = sinx + cosx sinx - cosx 2 show that f'(x) = sin 2x – 1

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