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14.3 Partial Derivatives Calculus 3 Flashcards | StudBud

Explore/14.3 Partial Derivatives Calculus 3

14.3 Partial Derivatives Calculus 3

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Questions 4

Answers

1
Find the f_x\left(5,-5\right) of f\left(x,y\right)=\ln\left(x+\sqrt{x^2+y^2}\right);
50
\frac{1}{\sqrt{50}}
\frac{1}{5}
25
2
Find f_y\left(-18,6\right) for function f\left(x,y\right)=\sin\left(4x+12y\right)
-4
0
-12
12
3
Find dy/dx by implicit differentiation 5\cos\left(x\right)\sin\left(y\right)=4
25sec(y) csc(x)
tan(x) tan(y)
-5sin(x)cos(y)
5 cos(x)sin(y)
4
Find the derivative of the functiony=\sin^{-1}\left(8x+1\right)
\frac{8}{\sqrt{-64x^2-16}}
\frac{8}{\sqrt{-64x^2-64}}
\frac{8}{\sqrt{64x^2-64}}
\frac{8}{\sqrt{-64x^2+16}}