Differentiation
Differentiation gives the gradient of a curve for any point on it, which also shows the rate of change between two values
Giving:
When differentiated:
y = 2x becomes dy = 2
dx
f(x) = 2x becomes f'(x) = 2
y = 2x becomes dy = 2
dx
f(x) = 2x becomes f'(x) = 2
E.g.
Second Order Derative
Differentiate Twice
Differentiation and Straight Lines
The differentiated value can be put into the straight line equation as the gradient allowing for the equation for the tangent and the normal at a point on the curve to be found out
By putting it into the equation and substituting in the x and y co-ordinates c can be found out algebraically. Allowing for the equation for the line to be discovered
By putting it into the equation and substituting in the x and y co-ordinates c can be found out algebraically. Allowing for the equation for the line to be discovered