If f(x, y) = log,(cos (e* ))+ sin(x + y) then f (x, y) is ây ô x %3D

Q: If f(x) = cos(2x) then find II f (t|4)

A: Given query is to find the Indicated derivative.

Q: Find f(x).

A: Given,

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

A:

Q: g(x) = cos(x + T) + 2 %3D

A: The given expression is gx=cosx+π+2.

Q: Show that (a) · J-1;2(x) = 2 Vлx cos x

A:

Q: If f(t) = e-t3 – 2 sin 2t determine L{f" (t)} %3D

A: Formula Used: L{eattn}=n!(s-a)n+1L{sin at}=as2+a2L{f''(t)}=s2L{f(t)}-sf(0)-f'(0)

Q: cos 2x dx (b) 4 cos t dt 0 2

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: If 7'(t) = (cos t, e2t, 3t²) and r(0) = (3, 1, –2), find the function 7 (t).

A: Given. f'(t) = (cos t , e2t , 3t² ) To calculate the vector function are we need to integrate the…

Q: If f"(x) = V - cos(x). f'(0) = 2, and f(0) = 0, find f(x). %3D

A:

Q: f(x) = 3x cos ƒ'(x). -1 (2x + 4) − √√/19 − 3x², find

A: Given: fx=3xcos-12x+4-19-3x2. To Find: f'x.

Q: Find dy Y= #an" (=) + cos "(sx) + CoS

A:

Q: Find f. f(x) = f"(x) = cos(x), f(0) = 9, f'(0): = = 8, f "(0) = 6

A: Given,  f'''(x)=cosx, f(0)=9, f'(0)=8, f''(0)=6

Q: f(x) = 10 sin x + 9 cos x f'(x) = %3D %D

A:

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

A:

Q: Let f(Vx)= 2x. Then f'(2) = -6 -4 6 4 8.

A: We need to substitution method

Q: COS f(2, Y) af af dy f(x, y) = log, (3x) af %3D fe dy

A:

Q: g(x, y) = sin (T ¤y) + log3 (x – 3y) -

A: The given function is                          gx,y=sinπxy+log3x-3y…

Q: Let Find f(x) = y = f(x) = 5x + 18 cos x. d f(x) =

A: Given query is to find the derivative at indicated point.

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: F(s) = Le 4t cos(5t)}

A: We have to find  ℒe-4tcos5t Remember : ℒeatf(t)=Fs-a where  ℒf(t)=Fs

Q: f(x) = 2 sin x + 8 cos x, then f'(a): f'(x) = f'(5) = |

A:

Q: a fif f" (t) = 2e* +3 sin(t), f(0) =-8, ) =

A:

Q: Let Find f(x)|x=7 = y = f(x) = ( 2 ) ²³ d dæ f(x)\x=7² sin x.

A:

Q: f(z) = cos(4r +5) %3D

A: we have to derivative  we know that  d(cos (ax+b) ) = -sin (ax+b) a                        = - a sin…

Q: If f(z)-6 tan , then find the value of f'(1) is 12 6 1 V2

A:

Q: f(x)=cos(x) Glx)こxや+1 d f(9(x) = t3 clx

A: We have to find derivative

Q: Let F(x) = - [² 2 √t dt. Find F" (2).

A:

Q: If f(r) = cos sº COs sº ds then 82 f'(r) =|

A: We have to find the derivative of f(r)

Q: COs ax dx. x² + b² (q)

A: Cauchy residue theorem: If f is holomorphic function defined on simply connected open set with…

Q: Find f if f"(x) = 2 + cos(x), f(0) = -10, f(x/2) = 4. %D %3D f(x) = iii

A: Recall: ∫xn dx= xn+1n+1+c; where c is an integration constant. ∫sinx dx= - cos(x)+c; where c is an…