Cho hàm số $z = f(x,y) = {x^y}$. Tính $\frac{{\partial f\left( {3,2} \right)}}{{\partial x}}$

A. x=1, y=1

B. x=0, y=0

C. x=1, y=0

D. x=0, y=1

A. M= 9, m= 2

B. M= 8, m=

C. M= 10, m= 2

D. M= 12, m= -2

A. $y = {C_1}{e^{ - x}} + {C_2}{e^{3x}}$

B. $y = {C_1}{e^x} + {C_2}{e^{3x}}$

C. $y = {C_1}{e^x} + {C_2}{e^{ - 3x}}$

D. $y = {C_1}{e^{2x}} + {C_2}{e^{3x}}$

A. $\frac{{\partial z}}{{\partial x}} = \frac{1}{{\sqrt {{x^2} + {y^2}} }}$

B. $\frac{{\partial z}}{{\partial x}} = \frac{{ - 1}}{{\sqrt {{x^2} + {y^2}} }}$

C. $\frac{{\partial z}}{{\partial x}} = \frac{{2x}}{{\sqrt {{x^2} + {y^2}} }}$

D. $\frac{{\partial z}}{{\partial x}} = \frac{x}{{\sqrt {{x^2} + {y^2}} }}$

A. $y = C\left( x \right)sinx$

B. $y = \frac{{C\left( x \right)}}{{sinx}}$

C. $y = C\left( x \right) + sinx$

D. $y = C\left( x \right) - sinx$

A. $\sqrt {1 + {x^2}} + ln\left| {lny} \right| = C$

B. $arctanx + ln\left| {lny} \right| = C$

C. $\sqrt {1 + {x^2}} + ylny = Carcsinx + ln\left| {lny} \right| = C$

A. $y = {e^{\frac{\pi }{4} - arctanx}}$

B. $y = x{e^{\frac{\pi }{4} - arctanx}}$

C. $y = {e^{\frac{\pi }{4} - xarctanx}}$

D. $y = {e^{ - arctanx}}$