Question 6 Let f(x)=sin x , g(x)=e* and h(x)=x³ . If s=hofog, what is s '(x) ? O 5e* sin*(e*) cos(e*) 5e* sin*(x) cos x 5x* cos(x) e* 5et* sin*(e*) cos(e*)

Q: cos' x+cos'x dx is sin x+sin'x Q 9. The value of the integral

A: Introduction :

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A: We will use product rule of differentiation here

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Q: If u(s) = -11 ((s)°) (cos(s)), then: а) u' (s) = 11s (s)') sin(s) – 55s(s)*(cos(s)) – 11 ((s)°)…

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Q: If j(x) = e(sin(x)+cos(x))² , then j'(x) = 2 cos(2x)el+sin(2«) COS

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Q: Let f(x) = 9 cos(cos x) f'(x) =

A: The given function is fx=-9coscosx. We know that if fx is a function then f'x if the derivative of…

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Q: Question 4 (cos(2x) – sin(2x) cos( 2x )) dx=- cos(x) – sin(x) -F(x) +C. For -C. What is F (x)? 3 A…

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Q: If y = (x² - sin x)¹ then y' = 3 O 4(x² - sin x)³(2x - cos x) O 4(2x - cos x)³ (x² - sin x) ○ 4(2x -…

A: The given function is

Q: Let f(x) = tan ¹(sin(8x)) f'(x) = > Next Question

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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: Let S(x) 9 sin x + 9 cos x "(x) 3= r(-)-

A: A function is given as fx=9sinx+9cosx. The objective is to find the first derivative f'x of the…

Q: Let f(x) = (8 sin z + 2 cos z)tan f'(z) -

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Q: If f(x) f'(x) = COS x 3 tan x, then - f' (5) =

A: Derivative of cosx is -sinx.

Q: w= Cos (x+y) + Sin (X-4) Show that dy?

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Q: 1. tan' 4.cos' A + sin' tan 2. sin' A1 + + + cos' 4(1 +tan' 4)-2 tan 3. (cos x+sin x(cos x-sin x)- 2…

A: Using,  Tanx = sinx/ cosx  Sin2x + cos2x = 1

Q: IFS(x) = - sin(x), then S ® (1) is equal to - sin(x) B) - cos(x) sin(x) O cos(x)

A: We have to solve

Q: 2) Find f' (=), f" (A), f" (E) given f (0) = sin 30 cos 0

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Q: If f(x)=sin(sin x) then f'(0) is .. Jika f(x)=sin(sin x) maka f'(0) adalah ... 1. O -1 2. O 1 3. O 0…

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Q: Determine the value of the serie 4∑ ((-1)^n)/(n^2) *cos(nx) at the point x=1

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Q: : Se' com (7e')cos (4e")de Evaluate: (A) -cos (3e") –cos (11e*) +C 22 -cos (3e*) + -cos (11e*) +C B…

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Q: a sin (cos X) b cos (cos x) c sin (sin x) d cos (sin x) a By expressingy = x in the form y = sin…

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Q: If f(x) = cos(x), what is f'(x) ? O -sin(x) O cos(x) O -cos(x) O sin(x)

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Q: 2. Show that cot x cos* x +C 4 cscx csc x | cot? x csc*x dx = - 6. 4 6.

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Q: Compute (sin (x)) dx cos'x 3 sin' x cos x O Not listed here 3 sin? x 3 sin x cos x

A: Given query is to find the derivative of the expression.