Tangents and normalsEdexcel International A Level Maths: Mind map

Exam questions on Tangents and normals

1. The curve $C$ has equation $y=x^2-3x+4$. The point $P(3,4)$ lies on $C$.
   Find an equation of the tangent to $C$ at $P$.2 marks
2. A curve has equation $y=x^3-6x$.
   The tangent to the curve at the point where $x=2$ is parallel to the tangent at another point $B$. Find the coordinates of $B$.2 marks
3. The curve $C$ has equation $y=2x^2-\dfrac{8}{x}$ for $x\neq0$. The point $A(2,4)$ lies on $C$.
   Find an equation of the tangent to $C$ at $A$, giving your answer in the form $y=mx+c$.3 marks