Why is the inverse of a gradient -1/x?
Because the value, x and its inverse, -1/x should multiply together to give -1. This is proof that two lines are perpendicular (or having the same magnitude of gradient but opposite signs +/- ).
SR
Related Maths A Level answers
All answers ▸Solve the simultaneous equations: y = x - 2 and y^2 + x^2 = 10
Given that x=ln(t) and y=4t^3,a) find an expression for dy/dx, b)and the value of t when d2y/dx2 =0.48. Give your answer to 2 decimal place.
How do you find the inverse of a function?
A line L is parallel to y = 4x+5 and passes through the point (-1,6). Find the equation of the line L in the form y = ax+b.