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day dy'/ do The equation dy f'(0) sin 0 + f(0) cos 0 dx (r,0) f'(0) cos 0-f(0) sing gives a formula for the derivative

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day dy'/ do The equation dy f'(0) sin 0 + f(0) cos 0 dx (r,0) f'(0) cos 0-f(0) sing gives a formula for the derivative y' of a polar curve r= f(0). The second derivative is dy 2 dx / do . Find the slope and concavity of the following curve at the given points r=0, 0 = NIX 4x At 0= -, the slope of the curve is (Type an exact answer.) At 0= 7, the value of the second derivative is and so the curve is (Type an exact answer,) At 0= 4x, the slope of the curve is (Type an exact answer.) At 0= 4x, the value of the second derivative is and so the curve is (Type an exact answer.)

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