Question

Derivative of the (sqrt of t/4t-3)

Answer 1

Next time, please enclose the function in the denominator inside parentheses.

Derivative of the (sqrt of t/4t-3) should be 

Derivative of the (sqrt of t/[4t-3])

then f(t) = sqrt( t / [4t-3] ), or    f(t) = ( t/ [4t-3])^(1/2)

Use the power rule here.  f '(t) = (1/2) [ t/{4t-3} ]^(-1/2) times the derivative of [ t / (4t-3) ].  Can you finish this differentiation?