1. Differentiate each of the following with respect to x (find y' =2). Do not simplify your answers past the point of %3D dx getting them to the form y'= a) y = (3e* + 4x2)* b) y = 8*+tanx 3x²+4x+2 c) y = d) sin(xy) x-y

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A: Find d2y/dx2 implicitly in terms of x and y3xy − 4 cos x = −6

Q: 4. C(x-xxx

A: 4. ∫-342x5-3x4+4x3dx Note:    Multiple questions are given, we are answer only one question. If you…

Q: If Sin-'x= Iny, show %3D ( l-xx) day - dx d X 2 x dy =y

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Q: Find y' if y = sin² (5+7)

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Q: @ y = x tan 2x

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Q: 1. sin° x cos x dx

A: sin3x cos4x  = sin(x) sin2(x) cos4(x)  = sin(x) (1 - cos2(x)) cos4(x)  = sin(x) (cos4(x) - cos6(x))…

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Q: 3. √9-x2 dx (hint: sin x = S dx (hint: sinx = (sin²x)(sin²x)) x4

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Q: 4) If y = 2√x - 2 tan-¹ √x, then y y' = -1 1+x²

A: Given :y=2x-2tan-1x

Q: 4 sin' 2x cos 4x dx 4.

A: