Let u = x³y¹, v = sin (x) and z=f(u, v) where f is a function with continuous first order partial derivatives such that f(1,0)=f(1,0)=Then what is A) a 712 8) ax(x,y)-(2) c) D) ? 07/

2OASIMMA UNV Y AL QASIMIA UNIVERSITY الجامعة القاسمية 5. a) Find the first order derivative of the following function. (6 Marks) y=x° In x b) Find the second higher order derivatives of the following function. P 25Q 10Q² +200 c) Find the partial derivatives? Y3D2X²+3xz85w-8z2

What can you conclude about a real function f(x,y) that has continuous partial derivatives at a point (x,y)?

Find all the second order partial derivatives for f(r, y) = sin(2x) – a²e" + y?. Verify that the conclusion of Clairut's Theorem holds, that is fry = fyz.