however, this form is not optimal since dy/dx here is in terms of y and we want it in terms of x, as our original function was. Luckily we have an expression for y (=sin^-1(x)) and we can substitute this in: dy/dx=cos(sin^-1(x)). This can be simplified by setting up a triangle and solving this compound trig function. It will reduce to dy/dx=1/sqrt(1-x^2). hope this helps!
No pregnant…two "HIP"s for birth control!!! ❤️❤️
however, this form is not optimal since dy/dx here is in terms of y and we want it in terms of x, as our original function was. Luckily we have an expression for y (=sin^-1(x)) and we can substitute this in: dy/dx=cos(sin^-1(x)). This can be simplified by setting up a triangle and solving this compound trig function. It will reduce to dy/dx=1/sqrt(1-x^2). hope this helps!