Theorem 2.12. If u is a differentiable function of x, then du air The derivative of a radical whose index is two, is a fraction whose numerator is the derivative of the radicand. and whose denominator is 6i} twice the given radical, if the derivative exists \fI. DIFFERENTIATE THE FOLLOWING FIND THE FIRST, SECOND AND THIRD ORDER DERIVATIVE PROBLEM 1 f(a:)=5:c33:c2+10.1:5 PROBLEM 2 y = 3,1:4 4x3 + 5x2 - 6x + 7 PROBLEM 3 f(:c):a:5+23:4:32+4:r+1 PROBLEM 4 Mr): (r4 3.'2 +5 3:4 4'3)