f(x) : cos x· cot x 8(x) = csc x - sin x =

Q: If f(x) = 6 sin-1'(x°), then f'(x)%D

A:

Q: If f(x)= cos (x)+3x , what is f'(x) ? COS O f'(x)=-sin (x) +3

A: First option is correct. Explanation is given below....

Q: If f(x) = 3x sin(x) cos(x), find f'(x). f'(z) = %3D Find f'(2). f'(2) =

A: We are given f(x)=3xsinxcosx. Now,          f'(x)=3xsinxcosx'        =3xsinxcosx'…

Q: Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/2 1/4 3/8

A: We have given  ∫x sinx cosx =fx sin2x-gx cos2x+C Let,  I=∫x sinx cosx dx I=∫x sin2x2dx I=12∫x sin2x…

Q: Show that the functions f and g are identically equal.

A: Given functions are -  f(x) = sin x . tan x g(x) = sec x - cos x We have to show that f and g both…

Q: Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/2 3/8 1/4

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Q: Consider the equation below. f(x) = 2 sin x + 2 cos x 0 ≤ x ≤ 2? Find the intervals on which f is…

A:

Q: Find f. f ''(θ) = sin(θ) + cos(θ),    f(0) = 5,    f '(0) = 1

A: given, f ''(θ) = sin(θ) + cos(θ),    f(0) = 5,    f '(0) = 1 to find f.

Q: If f (x) = – sin(x), then f (10) (x) is equal to A - sin(x) В - cos(x) C sin(x) D cos(x)

A:

Q: (a) Find the derivative of the function g (x) sin? x + cos? x (b) then use a trigonometric identity…

A: a) Given function: gx=sin2x+cos2x

Q: Find the intervals on which the function is increasing or decreasing. f(x)=sin x + cos x,…

A:

Q: What are the domain and range of functions? a) f(x) = cos^(-1) (In(tan x)) b) y= In( (x+1)/(x^(3)+1)…

A:

Q: (b) Find the first 4 derivatives of f (x) =b cos (x), and use the results to find the following…

A: We find the first 4 derivatives.

Q: 1. Find the derivative of the following trigonometric functions a) y = x sin(x) + cos(x) b) y =…

A: Given the trigonometric function

Q: Find f. f"(θ)  = Sin θ  +Cos θ , f(0)  =3 , f'(0)  =4

A: Given functionf"(θ)  = Sin θ  +Cos θ , f(0)  =3 , f'(0)  =4we have to find , f(θ)

Q: Let f(x)= (5 sin (x))/(2 +cos (x)). FInd the following:  f '(x)=  f '(4)=

A: Consider the function

Q: Given the function f(x,v) = *ye6-sin²x e cos?x The second derivative f, of f is equal to 0. Select…

A:

Q: If f (x) = – sin(x), then f (11) (x) is equal to A -sin(x) B - cos(x) © sin(x) D D cos(x) B

A:

Q: Find f if f''(x)=2+cos(x), f(0)=−2, f(pi/2)=6 f(x)= ?

A: Please see the white board. C1 is the constant of integration.

Q: If f(x) = sin x, show that f(x + h) – f(x) = sin x cos h – 1 sin h + cos X h h

A:

Q: If f(x) = 2 sin x + 12 cos x, then f'(x) = f'(3) = %3D

A: Given functionf(x)=2sinx+12cosx thendifferentiate with respective…

Q: Consider the functions f(x) = 2 sin(3.x), g(x) = cos(x²), and h(x) = tan(x³). (a) Find the…

A:

Q: If f(x) = COS x 3 tan x, then find: | f'(x) = f'(1) =

A: Given  f(x)=cos x-3tan x

Q: For what values of x does g (x)= x – sin x have a horizontal tangent line? Consider values of x in…

A:

Q: Is the function f(x)=sin(3x)+cos(tan x) even, odd, or neither? Why?

A: Recall: A function f(x) is even if  f(x) =f(-x). A function f(x) is odd if f(x)=-f(-x)

Q: Consider the function f(x) = sin(4x). a. Determine f '(x). b. Determine f"(x). c. What is the…

A:

Q: If f(x) = 3 cos(5 In(x)), find f'(x). Find f'(1).

A: topic - derivatives

Q: cs x 5. If f(x) = | sin x - sin x 0] 0, show that f(a)f(b) = f (a + b). Cos x

A: To show thatf(a) f(b) =f(a+b)

Q: Find (f −1)'(a). f(x) = 4x3 + 5 sin x + 2 cos x,    a = 2   (f −1)'(a) =

A: Consider the function f(x) =4x3+5sinx+2cosx.Compute the derivative of the given function as follows

Q: a. Use the definition of the derivative and the identity sin(a + B) = sin(a) cos(B) + cos(a) sin(B)…

A: As per Bartleby guidelines, for more than one questions asked, only one is to be answered. Please…

Q: If f(x) = 4 cos(7 ln(x)), find f'(x). %3D Find f'(3).

A: Explanation of the answer is as follows

Q: Given the functions f(x) = 1-r and g(x) = cos x determine an equation for h(x) = Ag(x)) and write as…

A:

Q: If f(x) = 5 sin x + 2 cos x, then f'(x) :

A:

Q: Given f’(x)= 3 cos x - 9 sin x and f(0)= -6 find f(x)

A: We can solve this as follows:

Q: If f (x) = - sin(x), then f (11) (x) is equal to A - sin(x) B - cos(x) sin(x) D cos(x)

A: Differentiate 11 times

Q: Given f(x) = x² +3 sin x+2 cos x. Find (f-ª) (2).

A:

Q: If f(x) = 2 cos(3 In(x)), find f'(æ). Find f'(1).

A:

Q: Find f(x), where f'(x) = sin(x) + cos(x) +1 and f(7) = 2.

A: Given: f'(x)=sin(x)+cos(x)+1 and f(π)=2

Q: The derivative of function g(theta) is given by g'(theta)=5 cos(theta)-3 sin(theta) and satisfies…

A:

Q: Given the function f(x)=3x/2sin(x)+cos(x), determine f′(−π).

A:

Q: If f(x) 7 sin x + 8 cos x, then f'(x) f'(1) = %3D

A: SOLUTION-

Q: If f(x) = 4x sin z cos x, find f'(x)= Find f'(3) = | %3D

A: Using product rule of derivatives.

Q: (c) Use fzero to find when the derivative of 5. S(x) = 9. cos(x) sin(x) is 0 in the interval (0,…

A: NOTE: As per the guidelines we are supposed to answer only one question because all parts or…

Q: If f(x) = 6 sin x + 12 cos x, then f'(x) = f'(4) = %3D

A:

Q: If f(x) = }(e3 + e-32), calculate f'(1). If f(x) = 32*, find f'(x). Find f'(0) for the function f(x)…

A:

Q: If f(x) f' (æ) = 2 sin x + 11 cos x, then f'(2) = %3D

A:

Q: Using an appropriate substitution, f sin®(x)cos³(x)dx is equal to:

A:

Q: Given f(x) = 3 sin x cos x, find f prime (x)

A: Derivative problem.....

Q: Find the function f(x) if f'(x) = 2 cos x + 3 sin x and f(0) = 4

A: We have

Q: If ef (x) + [ f (x) + 1] = sin x andƒ(0) = 0, find f'(0).

A: