Please show work

8. In this problem, we'll compute the derivative d c 2 t + 5 dt t2 - 3x Since the derivative is with respect to t (because of the dt in the denominator), the x in this function is actually just a constant. (a) Keeping in mind that x is a constant, what is the derivative with respect to t of the denominator t2 - 3x? (b) What is the derivative of the numerator x't + 5, again remembering that x is a con- stant? (Hint: What is the derivative of 2t? What is the derivative of 5t? What is the derivative of 17t? What is the derivative of anything of the form (constant) . t?) (c) Now use the Quotient Rule to finish computing the derivative