19) Find [sin( x9+ 9x) ]' = _by Chain Rule A) 9x8sin ( x9+ 9x) C) 9(x8+1) cos x 19) B) -9 x sin ( x9+ 9x) D) 9(x8+1)cos ( x9+ 9x) 20) Find the 3rd-order- derivative of y = f(x) = In x, =y= (In x )'''= Exp C) + 6 x-3 20) A) +2 x-3 B) - x- 2 D) - 3x-3 21) Find the 2019th-order- derivative of y = f(x) = ln x at x = 1, d2019y dx2019 21) Ix =1= f(2019) (1)= (ln x )(2019) |x=1=_ A) 2018! B) -2018! C) - 2019! D) 2019!

Q: (x) = sin(x) ompute (5) + * (5 ) + x" (;) IT 2

A:

Q: If f(x) = = sin (3 – x), then f'(0) O 6 sin 3 cos 3 O 6 cos 3 O -2 sin 3 cos 3 O -2 cos 3 -2 cos O 2…

A: f(x)=sin2(3-x)

Q: 5. Use the chain rule to compute the derivatives. a) f(x) = sin²x = (sin x)² b) f(x) = sin(x²) c)…

A:

Q: Find f' (x), if f(x) = sin(2x* – sin(x))

A:

Q: Find the derivative of f(x) = -5x4+7-2x² a.) f'(x) = -20x³-4x-7-2x² b.) f'(x) = -20x³-4x-7-2x² In7…

A:

Q: Derive the following: a.) xy^2 + xtany = ysinx

A: Given equation is: xy2+x tan y=y sin x We have to find dydx.

Q: If f(x) = cos-(r"), then f'(x) = (A) (B) (C) (D) (E) -32? sin-(æ³) (A) O (B) o (c) O (D) (E)

A: We have to find derivative

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

A:

Q: Use forward-difference formula to evaluate the first derivative of y = cos(x) at x = cos(x) at x =…

A: Given function is y=cosx. We have to evaluate the first derivative of y=cosx at x=π4 using a value…

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

A: Derivative of cosx is -sinx.

Q: CSCX -1 Differentlate: f(x) = secx A f'(x) = - csc2x+ sinx f(x) = sinx - sec²x C rx)=cosx-sec2x f(x)…

A:

Q: The derivative of tan(9*x) is (sec(9*x))2(9))   Can you tell me where the sec2 came from?

A:

Q: Find the derivative of f (x ) =V sech( In (8x + 1)) - sech(In(8x + 1)) tanh( In(8x + 1)) A 2/ sech(…

A:

Q: Identify which of the following functions require chain rule application to obtain their…

A: Chain rule is applicable for Composition of two functions only

Q: Let F(x) = sin(x) ex a) Find f'(x), F"(x), f (³) (x), F"" (x) b) Find f (2) (x), the 2n-th…

A: Here, we have to find the derivatives of f(x)=sin(x)exWe shall be using the product rule of…

Q: cos( 2 sin' ( x/ 11)) = Select one: O( 2x2 - 121 )/ 121 O(121 - 2x2 )/ 121 O 22 x/( 121 - x ) O 2x (…

A:

Q: Let f'(x) = f(x) = V cos(eztsin(2=)) 4.

A:

Q: Let f(x) f'(x) = 2 cos x + 7 tan x 2 sin(x) + 7 sec²(x) 1' (5) = 6

A:

Q: 1) f(x)= (x3+2x)6, Then Find f''(x)

A: As per our guidelines we are suppose to solve first question. Kindly repost the other question as…

Q: (5) f(x) = cos (5 - 2x) (7) f(x): = cos (√x³ + 1) (9) f(x) = cot (x5) (6) f(x) = cos (4x7 + 3) (8)…

A: Note: As per company guidelines we solve only first three subparts when multiple parts question…

Q: f'(x) = f(x) = cos(2x + 3)

A: Given query is to find the derivative.

Q: f(x) 9(2) where f(-3) = 7, f' (-3) = –9, 9(-3) = –2, and g'(-3) = 1. What is h' (-3)? Let h(x) Do…

A:

Q: 1)f(x)=sin³ 2x 2)f(x) = 4coshr 3)f(x) )= sinx cos*x 4)f(x) = e*cosx 5)f(x) = 8 Inx %3D

A: image is attached

Q: If f(z) = cosz - 3 tanz, then f'(z) = -sin(x) - 3 sec²(x) f'(2) =

A: