Q2- By using Chain Rule, find du/dx, du/dy, du/əz at (x, y, z) = (π/4.¹ u = e sin-¹p. p = sinx q=z²lny, r= ¹/₂ > -¹/2)

Q: Find df / dx and ðf / dy. f(x,y) = e(x + y + 8)

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Q: Consider y=(x2+1)2x a) find dy/dx b)Evaluate y'(1)

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Q: dy of the curve yln x + 5x² + y' = 13 at the point (1,2) dx b) Find

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Q: For the function f(x,y) = 5x - 6y - 6, find - of and

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Q: Зх- 1 | (*-9) dt Use Leibniz's rule to find for y = dx

A: Leibniz's Rule:ddx∫a(x)b(x)f(x,t)dt = f(x,b(x))·db(x)dx +  f(x,a(x))·da(x)dx - ∫a(x)b(x)∂f(x,t)∂xdt…