Lesson Worksheet: Equations of Tangent Lines and Normal Lines Mathematics • Higher Education

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In this worksheet, we will practice finding the slope and equation of the tangent and normal to a curve at a given point using derivatives.

Q1:

Find the equation of the tangent to the curve at .

Q2:

Find the equation of the normal to the curve at .

Q3:

What is the of the point where the tangent line to is parallel to the ?

Q4:

Find the equation of the tangent to the curve that makes an angle of with the positive -axis.

Q5:

Find all points with -coordinates in where the curve has a tangent that is parallel to the line .

Q6:

Find the equations to the tangent lines of the curve at the points where this curve intersects the -axis.

Q7:

Find the equation of the tangent to the curve at its point of intersection with the curve .

Q8:

Find the equation of the normal to the curve at .

Q9:

Find the points on the curve at which the tangents are parallel to the line .

Q10:

The curves and intersect orthogonally at a point. What is this point?

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