Change the independent variable to determine a first integral of the functional: x2 x1 y√ (y')² + y²dx. Let x'(1) = 1. Use your first integral to evaluate x'(y) at y = 3.0.

Q: Differentiate the function y = In (3x² – 6x + 7). Choose the correct setup below to start differe d…

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Q: Evaluate y' of the given functions: 1. y = (x² – 2)(x + 3)

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Q: Let y = uv be the product of the functions u and v. Find y'(2) if u(2) = 3, u'(2) = -4, v(2) = 1,…

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Q: Find y as a function of x if x*y" + 11xy + 25y = x', y(1) = -4, y(1) = 0. y =

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Q: Integrate: f'(x) = 4x¯½. A. 2√x + C B. 8√x + C C. √x + C D. -√4x + C 2

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Q: Differentiate the function. R(a) = (6a + 1)² R'(a) = 12 X

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Q: Find a > 1 to express y = 3(2/9)x in the form y = 3(a−x)

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Q: Differentiate the function y = In (3x2 – 6x + 7).

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Q: Differentiate the function. y = (2x* - -x+1) (-x* +3) y' = D

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Q: Differentiate the function. •¹ (33) H(z) In =

A: H(z)=ln⁡(a2−z2a2+z2)

Q: Find y as a function of x if x'y" – 9xy' + 25y = x", y(1) = 2, y'(1) = -5. y =

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