Find the tangent to the equation y=x^2 -2x +4 when x=2
When X=2 Y=2^2-2(2)+4=4 So the coordinates are (2,4)Differentiate Y so dy/dx = 2x-2Tangent Gradient when x=2 is 2(2)-2=2 so m=2We need to find the y intercept to get out tangent equationso y=2x+c , we sub in our coordinates to get 4=2(2)+c , c=0So therefore the tangent equation is y=2x
NN
Answered by Nabeel N. • Further Mathematics tutor
2554 Views
See similar Further Mathematics GCSE tutorsRelated Further Mathematics GCSE answers
All answers ▸A curve has equation y = x^2 - 7x. P is a point on the curve, and the tangent to the curve at P has gradient 1. Work out the coordinates of P.
Can you explain rationalising surds?
Simplify fully the expression ( 7x^2 + 14x ) / ( 2x + 4 )
How do I determine if a stationary point on a curve is the maximum or minimum?