(x) = [*cos(t¹) dt, then g'(x) cos(x7) — sin(x7) — sin(77) + sin(x²) cos(77) - cos(x7)

Q: If f(x)=2 sin x/1+cos x, then f′(x) =    f′(4) =

A: We have to find

Q: Evaluate 1 70 sin° (f (x)) cos*(f (x))g(x) dx COS where g'(x) = r for all x with g(0) = T , • f'(x)…

A:

Q: csc(x) – 1 sec(x) Differentiate: f (x) = (A f'(x) = - csc²(x)+ sin(x) B B f'(x) = - csc2(x) – cos(x)…

A: We can use differentiation of trigonometric function rules to find the derivative of the given…

Q: Let f(æ) = sin(x) and g(æ) = x² . Find (go f)'(x) O 2sin(x)cos(x) O 2xcos(x?) -2æcos(x?) 2xcos(x)

A: Given that f(x)= sinx and g(x)=x2. And we find (g0f)'(x). We know that d(xn)/dx = nxn-1.     Here i…

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: cos(x) Find g' (x) f(x) and let g (x) :

A:

Q: s¯¹(x + 1) − √√14 − 3x², find ƒ¹(x). If f(x) = 3x cos

A:

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

A:

Q: Find the derivative of (a) (교2 + 1)" (6) In(cos²(e2")) 2x (c) sin-1 e-1 dt x +1 In a

A:

Q: If f(x) = 2 sin z +9 cos z, then f'(z) = f'(4) =

A:

Q: Let ƒ(x) = (cos( − 4x – 5)) (sin(6x − 2)). Then ƒ'(x) =

A: f(x)=(cos(-4x-5))(sin(6x-2))

Q: If V(x)= In[sin(x)- cot(x)], find V'(x). %3D O a. cos(x)- csc-(x) sin(x) + cot(x) O b. cos(x)-…

A: Here we have, V(x)=lnsin(x)-cot(x) We have to find V'(x)=?

Q: Suppose f(pi/3) = 5 and f'(pi/3) = -7, and let g(x) = f(x

A:

Q: A power signal which is periodic with period 2n and is characterized by the form f(x) Expand f(x) in…

A: Given, fx=sinhxcosx, -π≤x≤π Since, f is periodic of period 2π then, fx+2π=fx Then,…

Q: a) Find a function f so that f’(x) = 6x + cos(x). b) Find a function g with g’(x) = f’(x)

A:

Q: If g(x) = 3 sin x + 2 cos x + 5, then g' (3) = A B 12/3-√3 - 3/2+√3

A:

Q: Find g'(x) given that g(x) = x° cos(Tx) os (πα)

A: Given,  g(x)=x3cos(πx)

Q: Let f (x) =x. cos(x2). what is the correct result of the derivative of f with respect to x? A…

A:

Q: f(x) = -2 sin x – 9 cos x %3D f'(x) = S'() =

A:

Q: If g(x) = cos(x) then = (2),6 g'(1) =

A: Given that, g(x)=cos (x)

Q: If f(x) = 4c0s(x) , then f'(x) = %3D (A) – sin(x) 4°os(x) (B) – In(4) sin(x) 4cos(x) (C) In(4)…

A:

Q: Let f(x) = 6 sin ¹(x²). Then f'(x) equals 12x √1-x² 1 1- x4 6 /1-x² 12x cos−¹(x²) 12x √1 x4

A: The objective is to find the derivative of f(x).

Q: fg(x) = cos(x) then -'(x) = - (3) =|

A: solution given belolw

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

A: Consider the function  f(x)=3cos3ln(x)

Q: (a) [In(4) - 2e¹³] dx d b) dx d (c) [2²² - 1 (2²)] = 4e³x In(x [sec (12r) + tan-¹(2x)]

A: NOTE: Refresh your page if you can't see any equations. .

Q: (b) Find (f ¹)'(1) if f(x) = x² +5 sin " + cos2. (TTX) (X)

A: Solution to find the value of derivative of inverse of f(x) at x = 1 is as follow

Q: If f (x) = - cos(x), then f (0)(x) is equal to A - sin(x) B - cos(x) В © sin(x) D cos(x)

A: We have to differentiate the given function 9 times

Q: If f(x) = (e"1+z)' 15 sin(z) +8 cos(z) f'(0) then f(0)

A:

Q: f(x) = 2 cos2(x), COS a = 0

A: Given data:       The given function is: f(x)=2 cos2(x). The given value of the constant is:a=0.…