Question

differentiate x^-1/2 sinx​

Answer 1

Step-by-step explanation:

d/dx (x^-1/2 sin x)

=> -1/2 [ x^(-1/2 - 1) ] cos x

=> -1/2 [x^(-3/2)] cos x

u can keep the answer like this or can simplify it further

=> -1/2 [ 1/ x^(3/2) ] cos x

=> -cos x / 2x^(3/2)