Question

Determine whether f(x)=x^{2/5} has
a) a vertical tangent at (0,0)?
b) a cusp at (0,0)?

Answer 1

Determine whether f(x)=x^{2/5} has a) a vertical tangent at (0,0)? b) a cusp at (0,0)?

Answer 2

find f'(0), take derivative and this will give slope tangent to curve at x=0
f'(x) 2/5*x^-3/5
f'(0) is undefined, an undefined slope is represented as vertical line