If f (x) = (-2x)tan- (x³), what is f' (x) ? o f'(x) = –2(3x³ + tan¬1 %3D t3 o f'(x) = 2 ( - tan-!x' ) 3x3 || 1-x3 o f'(x) = 3x3 1+x3 tan-lx3 %3D - o f'(x) = -2 ( + tan-x) 3 1+x3

Q: Find the derivative (df/dx) 1- f(x) = cscx - 4√x + 7y−² 2-f(x)=x² cotx-x-2 3-f(x) = (secx + tanx)…

A: We have to find derivative of given function.

Q: Question 26 Find y' by implicit differentiation for 2y³+4x2 – y = x6 . - V 6x5 – 8x (A 6y2 – 1 6x+…

A:

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

A: Given: y=(cosx)x

Q: (12) Evaluate the following 1 dx (2) √ ₁ + √2+ cx 1+√√2x (b)f (Inx) dx X (c) x-1 x+1 dx

A:

Q: x - x +2 4. If flx) =x + 7 find f'(x) . (5x - 1) (3x²) (A) (x' + 7)(5x - 1) – (x° – x + 2)(3x²) (B)…

A: The given function is  f(x) = x5-x+2x3+7

Q: If f(x) = tan (3x), then f'(x) = (A) 12 tan (3x) sec?(3x) (B) 4 tan (3æ) sec2(3x) (C) 12 tan (3x)…

A: derivative

Q: Let f(x) = x7 Then f'(x) is 5æ5 + 3x³ – 3æ – 4. За — - - f'(3) is f' '(x) is and f''(3) is

A:

Q: Find the derivative of OA. In (tan x) y'= X OB. y' = (tan x) OC. y' = [(secx) ²] x OD. Inx y' = (tan…

A:

Q: If f(x) = cos(x) +3z³, what is f'(æ)? O f'(x) = sin(x) +3z³ O f'(x) = sin(x)+ 9x² O f'(x) =…

A:

Q: 1, Differentiate the function. (2) f(x)= 5x² – x+1 (3) f(x)= (2+3x'j - nx (4) f(x)= e (5) f(x)= (x³…

A:

Q: Find for f'(x) | f(x) = x – cos(x) f(x) = e* – 2x - 2

A: To find f'(x).

Q: 11 Find the derivative of f(x) = -15sinx + +3√√x-5. X

A: Given function:- fx=-15sinx+11x4+3x7-5

Q: find f'(x). 5x(x+2 tan(x)) sec (x) Find f'(3). f(x)= 5x² tan z sec z

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Q: Find f'(x) if f (x) = 2 cos x + 3 sin x. f'(x) =

A:

Q: If f is a differentiable function and y = cos(f(x3)), what is 2 when x = 2? (A) – sin(f'(8)) (B) –12…

A: Here to find the required derivative we have to apply the chain rule of differenciation.

Q: Find the second derivative of f(x) = x2+ e* - COSX. O a. f(x) = 2x + xex - cosx O b. f'(x) = 2x + e*…

A: Solve by derivative

Q: 3-f(x) = tanh¯1(cos(e*))

A:

Q: Compute the derivative of g(x) = cos(t) dt-

A:

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: If f(x) f' (æ) = (x2 + 5x + 2)°, then f'(3) =

A: To find f'(x) and f'(3)

Q: Find f" (x) if f (x) = tan(x² − 1). ○ 2 sec² (x² - 1) ○ 2 sec² (x² − 1) (1 + 4x² tan(x² − 1)) ○ 2…

A:

Q: Q14: : Find intervals where function f is concave up and concave down and find the inflection…

A: Consider the function  f(x)=xex

Q: Find f'(x) if f (x) = 3 cos x + 8 sin x. f'(x) =

A: We need to differentiate the given Function.

Q: if S 3 then S f(x) dx = 43 and I f(x) f(x) dx = -2 -1 √ (3 Sin (x) - 4 fcx)) dx = ? -1

A:

Q: Find f'(x) if f(x) = tan-1 2x sec²(x) 1 1+x² 2x 1+x² 2x 1+x¹ 2x 1+x² 1-¹ (x²).

A:

Q: Can you find f

A:

Q: Find f'(x). f(x) = = O V 10x - sin²(7x) 1 f'(x) = = 2√/10 - 14cos(7x) 1 f(x) 2√10x - sin² (7x) 10…

A: This question is related to differentiation, We will solve it using given information.

Q: If f(x) = 7 tan'(7 sin(4x)), - f'(x) =

A: Given that, f(x) = 7tan-1[7sin (4x)] We have to find the derivative of the given function.

Q: The derivative of f(x) = 9z3 12 8. is %3D 3z f'(x) O f(r) – 9x?+ 12x 4 – 9r– 12x + 8e 7 O f(r) - 9x…

A:

Q: If f(x) = 7cos(x), what is f'(x) ?

A:

Q: f2(x) = (4x + 5)°, f3(x) = (2x² + x)/x, fa(x) = cos(3x) – 2 sin² x,

A: As this is a multiple subpart question according to the Bartleby Answering rule, only first three…

Q: Find the derivative of the trigonometric function f(x)=x°t .5, °tanx. a. f'(x)=x°sec²x+ 5x*tanx b.…

A: Use the chain rule of derivative and simplify.

Q: 4) If y = 2√x - 2 tan-¹ √x, then y y' = -1 1+x²

A: Given :y=2x-2tan-1x

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…