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If the tangent to the curve y = a tan^-1(x) has a slope equal to 1/2...

If the tangent to the curve y = a tan^-1(x) has a slope equal to 1/2 at x = 3, what is the value of a?

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Answer #1

Slope of the tangent line is given by

Slope of the tangent line at is

Therefore

That is

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