RevisionDojo

Question 1

Find the equation of the tangent line to the curve $y = 6x^3 - x + 1$ at $x = -1$ .

[5]

Question 2

Find the equation of the tangent line to the curve $y = 7x^4 + 5x^2 - x + 4$ at $x = -2$ .

[6]

Question 3

Find the equation of the tangent line to the curve $y = 3x^3 + 6$ at $x = 2$ .

[5]

Question 4

Find the equation of the tangent line to the curve $y = 4x^2 - x + 7$ at $x = -2$ .

[5]

Question 5

Find the equation of the tangent line to the curve $y = 2x^3 - 3x^2 + x - 4$ at $x = 0$ .

[5]

Question 6

Find the equation of the tangent line to the curve $y = 2x^5 - x^4 + 3x^3 - x + 5$ at $x = 1$ .

[5]

Question 7

Find the equation of the tangent line to the curve $y = 4x^2 + 9x + 2$ at $x = 3$ .

[5]

Question 8

Find the equation of the tangent line to the curve $y = 3x^2 + 2x - 5$ at $x = 1$ .

[5]

Question 9

Find the equation of the tangent line to the curve $y = 5x^3 + 8x^2 + 9x + 3$ at $x = 5$ . [6 marks]

Find the equation of the tangent line to the curve $y = 5x^3 + 8x^2 + 9x + 3$ at $x = 5$ .

[6]

Question 10

Find the equation of the tangent line to the curve $y = x^5 - 3x^3 + 2x$ at $x = 2$ .

[6]

Question 11

(No specification provided)

Find the equation of the tangent line to the curve $y = x^4 - 2x^2 + 3$ at $x = 1$ .

[5]

Question 12

Find the equation of the tangent line to the curve $y = -x^3 + 4x^2 + x - 2$ at $x = 2$ .

[5]

Question Type 1: Finding the tangent and normal to a polynomial at a specific value of x Exercises