Equation of a Tangent Line (Grade 11)
Free printable Grade 11 Mathematical Methods worksheet: finding the equation of the tangent to a curve at a point, with a graph of the curve and tangent.
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Grade 11 · Math worksheet
Name
Date
Math
Differentiation: Equation of a Tangent Line
For each curve, find the gradient of the tangent at the given point using the derivative, then write the equation of the tangent line in the form y = mx + c. The graph shows the curve and the marked point; the answer key adds the tangent.
- 1.Find the equation of the tangent to the curve y = -2x^2 - 5x + 2 at the point where x = 0.
The dot marks the point where the tangent is taken. - 2.Find the equation of the tangent to the curve y = + 2x^2 + 2x + 3 at the point where x = 2.
The dot marks the point where the tangent is taken. - 3.Find the equation of the tangent to the curve y = - + 5x - 3 at the point where x = 1.
The dot marks the point where the tangent is taken. - 4.Find the equation of the tangent to the curve y = - + 4x^2 - 5x + 4 at the point where x = -2.
The dot marks the point where the tangent is taken. - 5.Find the equation of the tangent to the curve y = -2x^3 + 3x^2 - 3x + 2 at the point where x = -1.
The dot marks the point where the tangent is taken. - 6.Find the equation of the tangent to the curve y = 3x^2 - 5x - 1 at the point where x = 1.
The dot marks the point where the tangent is taken. - 7.Find the equation of the tangent to the curve y = 4x^3 + 6x^2 - 3x - 2 at the point where x = 0.
The dot marks the point where the tangent is taken. - 8.Find the equation of the tangent to the curve y = - + 6x^2 - 2x - 2 at the point where x = 1.
The dot marks the point where the tangent is taken.
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