The first thing I would do is rewrite the function as f(x)(x^(1/2))(3-8x^2)x^(-1)= x^(-1/2)(3-8x^2)= 3x^(-1/2)- 8x^(3/2).

Surely, you can do the first part: when x= 1, what is f(1)? That's just arithmetic.

To find the slope, take the derivative of f. Use the fact that the derivative of Ax^n+ Bx^m is nAx^(n-1)+ mBx^(m-1).