How do you find the derivative of #y =4/sqrt(x)#?
1 Answer
When you're differentiating things involving radicals, it's never a bad idea to rewrite the radicals as rational exponents:
#y = 4x^(-1/2)#
Now, this is easily differentiated using the power rule:
#dy/dx = (-1/2)*4x^(-3/2)#
Simplified:
#dy/dx = -2x^(-3/2)#
And, if we want to put the answer in radical form:
#dy/dx = -2/(sqrt(x^3))#
