2. (a) Let f(x, y) = x² sin(x + y), find 잃 and 잃.

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A: According to product rule, if f(x)=u(x)*v*x) then f’(x)=u(x)*v’(x)+v(x)*u(x).

Q: Juha For the function y=3 sin (2x-T/2) +4 .. * find f, g & h f P.

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Q: . Differentiate each function. a) y= cos'x b) y= sin(x³)

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A: Given query is to find indicated derivative.

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

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Q: For a function f(x), f"(a) = 0 and f"(a) = 0. What could be true of the point (a, fla))? Explain.…

A: Given f'a=0and f''a=0

Q: (b) Evaluate A () a().

A: We have to evaluate  Delta( Sinx / x2 + 2x - 1 ) which is the laplacian or double derivative of the…

Q: For f(x)=cosx+sinx, determine all of the values of x for which f(x)=0

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Q: (5) If x > 0 then 1/x > 0.

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: x + 4 6. Let f(x) find the following: x - 3 a) f(2) b) f(4) c) domain of f

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Q: -1 Let f(x) = (3 sin z + 4 cos z)tan f'(x) = %3D

A: Given  f(x)=(3sinx+4cosx)tan-1xTo find f'(x):

Q: Prove the identity. Work on one side only. cos(4x) = 18 sin² x+8 sin ¹ x

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