Assume x and y are functions of t. evaluate dy/dt. xy+x=12; dx/dt = -3, x=2, y=5

So if you take the derivative of this function, you get (dx/dt)(y) + (dy/dt)(x) + (dx/dt) = 0. Plug in dx/dt, x, and y into the function. (-3)(5) + (2)(dy/dt) + (-3) = 0. Isolate dy/dt. 2dy/dt = 18, so dy/dt = 9.

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.