Find the tangent to the curve y = x^3 - 2x at the point (2, 4). Give your answer in the form ax + by + c = 0, where a, b and c are integers.
y = x3- 2xdy/dx = 3x2 -2plugging in x = 2, therefore gradient = 10using the formula to get the equation of a line y -y1=m(x - x1)substitute y1=4 and x1=2 to get the answer-10x + y + 16 = 0
KS
Related Maths A Level answers
All answers ▸Differentiate y = (6x-13)^3 with respect to x
Find the roots of the following quadratic equation: x^2 +2x -15 =0
A 2.4 m long plank of mass 20kg has 2 pins, each 0.5 meters from each respective plank end. A person of mass 40kg stands on the plank 0.1m from one of the pins. Calculate the magnitude of reactions at the pins for this structure to be in equilibrium.
Integrate y=(x^2)cos(x) with respect to x.