Question 18 Find the derivative of y = tan (3x) [sec (2x)]-1 3 cos (2 x) – sin (6 x) sin (3 x) A cos 2 (3 x) 3 cos (2x) – sin (3x) sin (2x) cos? (3x) 3 cos (2x) – sin (6x) sin (2x) cos²(3x) 2 (D 3 sec (3 х) 2 tan (3 x) tan (2 x) 2 (2 x) sec Question 19 What is dx A e2e* B ee*+ ex +2e* e*+1

Q: Find h'(x) if h (x) (2 csc x) (5 sin x - 3x). O-2 cot2 x (5 sin x - 3x) O2 cotx (5 cotx - csc x) -2…

A: Givenhx=2cscx5sinx-3x We know that cscx=1sinx We know that dcscxdx=-cscx.cotx Product rule for…

Q: Differentiate. f(0) = 0 cos(0) sin(0)

A:

Q: [CLO-2] Find the derivative of 5 cosx f (x) = 4 sinx+3 O 21 – 6 cosx O ( 7 cosx+2)2 6 – 10 cosx (3…

A: Given:         fx=5cosx4sinx+3   Differentiating on both sides       f'x=ddx5cosx4sinx+3 Taking…

Q: Question 4 Find the derivative(f (x)) of f(x) =cos/x -/sinx a. -sin/x Cox " (x) = 2/x 2/sinx CSX…

A: By using derivative formula

Q: can i get step by step help please

A:

Q: Differentiate the following function COS T 1 (a) sec(x) tan(x) (b) (c) sin (4x° + cos(x))

A:

Q: (5) If y = sin(3x) the find y"

A: We have given trigonometric equation  y=sin3x y'=dydx y'=ddxsin3x y'=cos3x·ddx3x y'=3cos3x…

Q: y = [x + (x + sin2(x))ª]³ %3D

A:

Q: Find the derivative of g(x) = e * x). sin (1+ 0-3x²e*cos(1+x°) O xe*1sin(1+x°)+3x²e*cos(1+x) O…

A: The product rule of derivatives states that duv=u'v+v'u.

Q: Let f(x) - 6 cos 6 cos° x f '(x) =

A:

Q: Evaluate the following integral.

A: The given integral is,

Q: 1+sin 2 x 1) Find the derivative of f(x) %3D 2 cos3 x

A: The given function is                                    y=f(x)=1+sin2x2cos3x…

Q: 3 a Differentiate b Differentiate sin x and hence find an anti-derivative of COS X cos(2x) sin(2x) 1…

A:

Q: If f(x)- 3 cos 4x- - {).₁ 0 -3 -12 4 find f'

A:

Q: The nth derivatives of sinªx is ㅎ4"cos(4x +

A: FALSE. SOLUTION IS GIVEN BELOW HANDWRITTEN DOCUMENT. nth derivative of sin^4x

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: What is the derivative of f(x) =2cos (x)? %3D 2 cos (2x) O -2 cos (2x) O 2 sin (2x) -2 sin (2x)

A: f(x) =2cos2xdifferentiating w.r.t xd(f(x))dx=ddx(2cos2x)

Q: QUESTION 5 Find the derivative. y%3= + 8 sec x Oy'-2- 8 sec x tan x x2 Oy'- - 7. +8 sec x tan x Oy'=…

A:

Q: Question 1 Find the derivative of y=sin(3x² - 4x + 1). dy dx dy dx dy dx dx = - (6x-4) cos(3x² -…

A: The function is y=sin(3x2−4x+1)aim is to find the derivative of the given sin function

Q: Find the derivative

A: We are required to find the derivative of (a) y=cos2tan1+x3(b) f(t)=3csc5πt-71-cotπt5-7

Q: 1) Find the derivative of f(x) = 1+sin 2x %3D 2 cos3 x

A:

Q: f (x) = sin (cos(tan x))) find its derivative

A: Consider the provided function, fx=sincostanx Find the derivative of the function with respect to x.…

Q: Select the derivative of the following function from the potential answers Select one: O a. O b. O…

A:

Q: 8e cos 2x dx csc(x) sec(x)

A: