How to draw tangent from a curve?
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Dr.Peterson
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It will be best if you can give a specific example of a problem you have trouble with, and show your work. That way, we can see what you are doing wrong, and give specific advice for you. That will also help us be sure what kind of problem you are asking about.
HallsofIvy
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A method for drawing a tangent line to a curve that I learned in secondary school:
Hold a small mirror crossing the curve at the desired point and slowly turn it until the curve appears to go smoothly into the mirror. Holding it there, use the mirror as a straight edge to draw the line perpendicular to the curve. Now turn the mirror so that perpendicular line appears to go smoothly into the curve and use to draw the line perpendicular to that perpendicular, the tangent to the curve at that point.
Hold a small mirror crossing the curve at the desired point and slowly turn it until the curve appears to go smoothly into the mirror. Holding it there, use the mirror as a straight edge to draw the line perpendicular to the curve. Now turn the mirror so that perpendicular line appears to go smoothly into the curve and use to draw the line perpendicular to that perpendicular, the tangent to the curve at that point.