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Calculus-II : Partial Derivatives Flashcards | StudBud

Explore/Calculus-II : Partial Derivatives

Calculus-II : Partial Derivatives

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Questions 5

Answers

1
Find f_z, if f=\ln\left(2x-3y+4z^2\right)
\frac{8z^2}{2x-3y+4z^2}
\frac{8z}{2x-3y+4z^2}
None
\frac{z}{2x-3y+4z^2}
2
Find \frac{∂f}{∂x}, if f=x^2y+4xy
xy+4xy
None
2xy+4xy
2y+4xy
3
Find f_y, if f=(x^2-4y^2)^3
8y\left(x^2-4y^2\right)^2
24y\left(x^2-4y^2\right)^2
2y\left(x^2-4y^2\right)^2
y\left(x^2-4y^2\right)^2
4
Find \frac{∂f}{∂y}, if f=x^2e^y+\sin x\cos3y
x^2e^y-3\sin x\sin3y
None
x^2e^y+3\sin x\sin3y
x^2e^y-\sin x\sin3y
5
Find _{f_x}, if f=\sqrt{2x^2-y^2}
\frac{x}{\sqrt{2x^2-y^2}}
\frac{4x}{\sqrt{2x^2-y^2}}
\frac{2x}{\sqrt{2x^2-y^2}}
None