Unit 7 (graphing trig and calculus)
rate of change, derivatives, tangent and normal lines
derivative- dy/dx or ax^(n)= nax^(n-1)
normal line- when y=x then normal is y=-1/x
x<1/2 the gradient is negative (decreasing)
x>1/2 the gradient is positive (positive)
x=1/2 the gradient is zero not increasing or decreasing
problems and graphs
derivative- the formula used to find the curve of a line.
tangent-a straight line that touches the curve at one point representing the rate of change when the derivative equals the original equation.
normal- a line that is perpendicular to the tangent line at the point of tangency.
maximum-the highest point on a graph.
minimum-the lowest point on a graph.