Equation of a Tangent Line (Grade 12)
Free printable Grade 12 Mathematical Methods worksheet: finding the equation of the tangent to a curve at a point, with a graph of the curve and tangent.
✓ Answer key checked by math, never wrong
Grade 12 · 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 = 4x^2 + 5x - 6 at the point where x = 1.
The dot marks the point where the tangent is taken. - 2.Find the equation of the tangent to the curve y = 3x^3 - 2x^2 - 4x - 1 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 + 4 at the point where x = 0.
The dot marks the point where the tangent is taken. - 4.Find the equation of the tangent to the curve y = + 6x + 2 at the point where x = 1.
The dot marks the point where the tangent is taken. - 5.Find the equation of the tangent to the curve y = 3x^2 - 4x + 5 at the point where x = 2.
The dot marks the point where the tangent is taken. - 6.Find the equation of the tangent to the curve y = -3x^2 + 3x - 5 at the point where x = -2.
The dot marks the point where the tangent is taken. - 7.Find the equation of the tangent to the curve y = -4x^3 - 2x^2 - 4x + 3 at the point where x = 1.
The dot marks the point where the tangent is taken. - 8.Find the equation of the tangent to the curve y = 2x^2 - 6x + 4 at the point where x = -2.
The dot marks the point where the tangent is taken.
Made with ChalkBee · chalkbee.com