Compute the dz in the function z = ety sin (xy) A. dz = ze"(cos (zy) + sin (ry) dz+ ye"lcos (ry) + sin (zy)]dy B. dz = ye"[cos (zy) + sin (zy)|da + xe"lcos (ay) + sin (zy)]dy В. С. dz = ye" cos (zy)-sin (zy))dr + zc"[cos (xy)- sin (zy))dy D. dz = ze"[cos (zy) - sin (ry)dz+ yc"lcos (rp)- sin (zy)]dy E. NONE OF THE ABOVE

Q: a2f дхду' a2f 2. (a) If f (x, y) = x tany + ye-2*, find and What do you notice? дхду (b) If f(x, y)…

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Q: 4) Consider the function defined by 10) = /3 (sin (5 + *)) (증+0)) +4 V3 sin (+t) + 4+ V/3 (cos G…

A: we have to show that f(t) is a constant

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A: Given: f=sinxycosyzcotxz To find: fzyx

Q: Find the derivative of y = In O O a.) dy dx =In(5) +4ln(x) —In(cosx) 4 1 dx X COSX b.) dy = c.) dy 1…

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Q: Prove the hyperbolic identity of sinhxcoshy-coshxsinhy=sinh(x-y)

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Q: -1 a) y = x tan 2x 4 4x +. b) In(x+y)=Dtan (xy) c) y=e* cos x d) x +xtany = e e) y = Vz sin (z)

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Q: 2. Let z= x²sin2y дz Compute (a) дх (b) дz ду

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Q: Find the daigram only for the equation  z =x^2+y+cos(x^2)+siny

A: z=x2+y+cos(x2)+siny

Q: How did he get the value inside the circle f(x, y)=x² + sin(xy) Vf=x*+sin(xy)) i+ d(x²+sin(xy)), dx…

A: given ∇f(1,0)=2i+j we have to find the direction in which the directional derivative has some value.

Q: d dx d du d dz d [12 cos ¹2x] dy d dq [4 sec ¹3u] [10 tan-¹2z] [6 csc-¹4y] [9 cot-¹39]

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Q: f(seca tan a – 8a")da tan a + a° + c sec a +a8 +e - sec * – a8 +c sec a – a° +e sec a +8

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Q: B) Find- for following functions: дz მა 1) z = exy tan y, x = s + 2t, y = s/t. 2) z = x² + xy + y²,…

A: The objective of the question is evaluate the partial derivative of the given functions.

Q: Find y^" when y=sin(ax)*cos(bx),a,b any real numbers. Find y" when y = sin(ax) · cos(bx), when a, b…

A: The given function is: y=sin(ax)cos(bx) So, y'=sin(ax)ddx(cos bx)+cos(bx)ddx(sin(ax))…

Q: Find of the fo lloming function the derivative Tin C A y'= (Sinsc) oc Sin 6-1 Sinac +Inx cos scl +…

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Q: a3 f 2- Find the third derivative for for f (x, y) = sin əx3 -2sin?cos()+2 sin) sin By'sini )+2…

A: The given function isf(x, y)=sinxy

Q: Let f(z) = (9 sin z + 2 cosz)tan¹z

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Q: V. Find the third derivative: 1) y = 10 tan(x) - 2 cot(x) 2) y = x³ - x² sin (x) 1 3) y = 2 sin(x)-4…

A: The given problem is to find the 3rd derivative of the given functions.

Q: Let f(x) = (8 sin z + 2 cos z)tan f'(z) -

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Q: Find y': y = cot 0 sin 0 O sin² 0 1-tan²0 O1+sin² 0 cos³0 O-1-cos² e sin³0 3

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Q: Find y' if y = 5x sin x. O A. y' = - 10 cos x+ 5x sin x B. y" = 10 cos x- 5x sin x C. y' = - 5x sin…

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Q: Q2/1 x = 0; pi/100 : 2 Pi; Y₁ = Sin(x) 2. Sin (X-0.25); 83 Sin (X-0.5); ун Y₁ = Cos (x); plot the X…

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Q: Now H= [² 2 id 2² H эрг = Ho 2² [Ho Sin (Kr_wt)] ar 2 [2 Ho Sin (Kr- wt) Ho 2/ [cos (kr-wt) x] K Ho…

A: They have derived the partial derivative. Our aim is to explain the derivative rule.

Q: For which z values of the complex functions given below have the derivative (f'(z)), obtain a) f(z)…

A: The derivative of A function f at z=z0 is defined as  If f is polynomial in z , then f is…

Q: +66 Next Page Previous Page xp 4) xp 3) xp O 2) xp Use implicit differentiation to find a if xy -…

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