y = arcsec(x), Find dy/dx.
The key to this problem is to apply sec to both sides, and then differentiate implicitly: sec(y)=x; dsec(y)/dx = 1; tan(y)sec(y)dy/dx = 1; dy/dx = 1/(tan(y)sec(y)). Then using the fact that sec(y)=x and tan2x + 1 = sec2x, we can rewrite our derivative in terms of x only: dy/dx = 1/(x√(x2-1))
NY
Related Maths A Level answers
All answers ▸Two fair six sided dice, called A and B, are rolled and the results are added together. The sum of the dice is 8, what is the probability that two fours were rolled?
When do we use the quadratic formula, and when the completing the square method?
A level Maths question - The graph of y=2sin(2x)+1 is rotated 360 degrees about the x-axis to form a solid. Find the volume enclosed by the curve, the co-ordinate axes and the line x=pi/2
Solve for 0<=θ<π, the equation sin3θ-(sqrt3)cosθ=0 (C2)