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FIND AN EQUATION OF THE TANGENT LINE TO THE GRAPH OF f AT THE GIVEN POINT. (X+1)/(X-1), {1/2,-3}
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take the derivative, plug in 1/2
AND F(X)=(1+SINX)/(1-SINX), {(PIE,1}
derivative of \[\frac{x+1}{x-1}\] is \[-\frac{2}{(x-1)^2}\] replace x by 1/2 to get your slope
second problem same as first. derivative is \[\frac{2\cos(x)}{(1-\sin(x))^2}\]
FOR FIRST DERIVATIVE WHY DID I GET -X/{2(X-1)^2???
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ONCE I FIND THE SLOPE THEN WHAT??
Satellite's derivative is correct. To avoid mistakes in future, you should not simplify the derivative: there is no need to break it down since you are just inputting values for x; that only increases chances to make a mistake, and in exam waste time.
Once you find slope, equation is y=[f'(1/2)][x-(1/2)] - 3
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